Least Common Multiple of 6524/869, 8954/7649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6524/869, 8954/7649 quickly i.e. 29207948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6524/869, 8954/7649 is 29207948.

LCM(6524/869, 8954/7649) = 29207948

LCM of 6524/869, 8954/7649

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 6524/869,8954/7649

Given numbers are 6524/869,8954/7649

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 6524,8954

Least Common Multiple of Numerators i.e. LCM of 6524,8954 is 29207948.

GCF of Denominators means GCF of 869,7649 as per the given fractions.

GCF of 869,7649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6524,8954

LCM of Fractions 6524/869,8954/7649 is 29207948

2 6524, 8954
3262, 4477

∴ So the LCM of the given numbers is 2 x 3262 x 4477 = 29207948

Least Common Multiple of 6524,8954 with GCF Formula

Least Common Multiple of 6524,8954 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 6524,8954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6524,8954) = 2

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

GCF(6524,8954) x common factors =2 x 1 = 2

LCM(6524,8954) = ( 6524 × 8954 ) / 2

LCM(6524,8954) = 58415896 / 2

LCM(6524,8954) = 29207948


Lets's calculate GCF of 869,7649

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29207948/1

Therefore the LCM of Fractions 6524/869,8954/7649 is 29207948

Greatest Common Factor of 869,7649 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,7649 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1,7649

Greatest Common Factor

We found the factors 869,7649 . The biggest common factor number is the GCF number.
So the greatest common factor 869,7649 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6524/869, 8954/7649

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 6524/869, 8954/7649?

Answer: LCM of Numerators as per given numbers 6524/869, 8954/7649 is

LCM of Numerators i.e. for 6524,8954 is 29207948

GCF of denominators i.e. for 869,7649 is 1.

Thus, LCM of Fractions is 29207948.Finally, LCM of Fractions for 6524/869, 8954/7649 is 29207948.