Least Common Multiple of 8969/756, 7237/8883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8969/756, 7237/8883 quickly i.e. 64908653/189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8969/756, 7237/8883 is 64908653/189.

LCM(8969/756, 7237/8883) = 64908653/189

LCM of 8969/756, 7237/8883

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8969/756,7237/8883

Given numbers are 8969/756,7237/8883

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8969,7237

Least Common Multiple of Numerators i.e. LCM of 8969,7237 is 64908653.

GCF of Denominators means GCF of 756,8883 as per the given fractions.

GCF of 756,8883 is 189 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8969,7237

LCM of Fractions 8969/756,7237/8883 is 64908653/189

Given numbers has no common factors except 1. So, there LCM is their product i.e 64908653

Least Common Multiple of 8969,7237 with GCF Formula

Least Common Multiple of 8969,7237 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8969,7237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8969,7237) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(8969,7237) x common factors =1 x 1 = 1

LCM(8969,7237) = ( 8969 × 7237 ) / 1

LCM(8969,7237) = 64908653 / 1

LCM(8969,7237) = 64908653


Lets's calculate GCF of 756,8883

3 756, 8883
3 252, 2961
3 84, 987
7 28, 329
4, 47

∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64908653/189

Therefore the LCM of Fractions 8969/756,7237/8883 is 64908653/189

Greatest Common Factor of 756,8883 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,8883 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 8883

List of positive integer factors of 8883 that divides 8883 without a remainder.

1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883

Greatest Common Factor

We found the factors 756,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 756,8883 is 189.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8969/756, 7237/8883

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8969/756, 7237/8883?

Answer: LCM of Numerators as per given numbers 8969/756, 7237/8883 is

LCM of Numerators i.e. for 8969,7237 is 64908653

GCF of denominators i.e. for 756,8883 is 189.

Thus, LCM of Fractions is 64908653/189.Finally, LCM of Fractions for 8969/756, 7237/8883 is 64908653/189.