HCF and LCM of two numbers are related to each other as well as with the given numbers. For any two numbers a and b, HCF (a, b) × LCM (a, b) = a × b.

Also, What is the LCM of two numbers?

LCM (Least Common Multiple) of two numbers is the smallest number which can be divided by both numbers. For example, LCM of 15 and 20 is 60, and LCM of 5 and 7 is 35.

Hereof, What are the 2 methods of HCF?

We can find HCF and LCM of given natural numbers by two methods i.e., by prime factorization method or division method.

Also to know What is the formula for HCF? HCF and LCM Formula and Tricks

HCF = HCF of Numerators/LCM of denominators. LCM = LCM of Numerators/ HCF of Denominators.

What is the HCF of 30?

Factors of 30 (Thirty) = 1, 2, 3, 5, 6, 10, 15 and 30. Factors of 24 (Twenty four) = 1, 2, 3, 4, 6, 8, 12 and 24. Therefore, common factor of 30 (Thirty) and 24 (Twenty four = 1, 2, 3, and 6. Highest common factor (H.C.F) of 30 (Thirty) and 24 (Twenty four = 6.

## How do u find the LCM?

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

## What is the fastest way to find the LCM of two numbers?

How to Find the LCM – FAST!!!

1. Step 1) Find the GCF for the two numbers. For 18 and 30, GCF is 6.
2. Step 2) Divide that GCF into either number; it doesn’t matter which one you choose, so choose the one that’s easier to divide. Choose 18. …
3. Step 3) Take that answer and multiply it by the other number. …
4. Step 4) Celebrate …

## What is the three methods in finding the LCM?

Find the LCM using the prime factors method

Find the prime factorization of each number. Write each number as a product of primes, matching primes vertically when possible. Bring down the primes in each column. Multiply the factors to get the LCM.

## What is the HCF of 16 and 24?

The HCF of 16 and 24 is 8. To calculate the Highest common factor (HCF) of 16 and 24, we need to factor each number (factors of 16 = 1, 2, 4, 8, 16; factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and choose the highest factor that exactly divides both 16 and 24, i.e., 8.

## What is the HCF of 12 and 24?

HCF of 12 and 24 by Prime Factorization

As visible, 12 and 24 have common prime factors. Hence, the HCF of 12 and 24 is 2 × 2 × 3 = 12.

## What is the HCF of 12 15 and 45?

Question 4) Find the Highest Common Factor (H.C.F.) of 12,15 and 45. Now, let’s find the Highest Common Factor of 3 and 45. Therefore, the Highest Common Factor of the numbers 12,15 and 45 is 3.

## What is the HCF of 2 and 4?

HCF of 2 and 4 by Prime Factorization

As visible, 2 and 4 have only one common prime factor i.e. 2. Hence, the HCF of 2 and 4 is 2.

## What is HCF example?

HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.

## What is the HCF of 15 and 30?

There are 4 common factors of 15 and 30, that are 1, 3, 5, and 15. Therefore, the greatest common factor of 15 and 30 is 15.

## What is the HCF of 15 25 and 30?

The highest number that divides 15, 25, and 30 exactly is their highest common factor. The HCF of 15, 25, and 30 is 5. ∴ The highest number that divides 15, 25, and 30 is 5.

## What is the HCF of 27 and 30?

There are 2 common factors of 27 and 30, that are 1 and 3. Therefore, the greatest common factor of 27 and 30 is 3.

## What is the LCM of 5 and 3?

What is the LCM of 3 and 5? Answer: LCM of 3 and 5 is 15.

## What is the LCM of 8 and 3?

What is the LCM of 3 and 8? Answer: LCM of 3 and 8 is 24.

## What is the LCM for 24 and 36?

The LCM of 24 and 36 is 72. To find the least common multiple of 24 and 36, we need to find the multiples of 24 and 36 (multiples of 24 = 24, 48, 72, 96; multiples of 36 = 36, 72, 108, 144) and choose the smallest multiple that is exactly divisible by 24 and 36, i.e., 72.

## What is the LCM for 18 and 30?

The LCM of 18 and 30 is 90. To find the least common multiple of 18 and 30, we need to find the multiples of 18 and 30 (multiples of 18 = 18, 36, 54, 72 . . . .

## What is the LCM of 4 and 3?

What is the LCM of 3 and 4? The LCM of 3 and 4 is 12.

## What is the LCM of 26 and 91?

Answer: LCM of 26 and 91 is 182.

## What is the LCM of 24 and 36?

Answer: LCM of 24 and 36 is 72.

## What is the HCF of 16 and 18?

Well, The HCF (Highest Common Factor) of 16 and 18 is 2.

## What is the HCF of 18 and 30?

GCF of 18 and 30 by Listing Common Factors

Therefore, the greatest common factor of 18 and 30 is 6.

## What is the HCF of 18 and 24?

FAQs on HCF of 18 and 24

The HCF of 18 and 24 is 6. To calculate the Highest common factor of 18 and 24, we need to factor each number (factors of 18 = 1, 2, 3, 6, 9, 18; factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and choose the highest factor that exactly divides both 18 and 24, i.e., 6.