Least Common Multiple of 9654/929, 7657/5871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9654/929, 7657/5871 quickly i.e. 73920678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9654/929, 7657/5871 is 73920678.

LCM(9654/929, 7657/5871) = 73920678

LCM of 9654/929, 7657/5871

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 9654/929,7657/5871

Given numbers are 9654/929,7657/5871

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 9654,7657

Least Common Multiple of Numerators i.e. LCM of 9654,7657 is 73920678.

GCF of Denominators means GCF of 929,5871 as per the given fractions.

GCF of 929,5871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9654,7657

LCM of Fractions 9654/929,7657/5871 is 73920678

Given numbers has no common factors except 1. So, there LCM is their product i.e 73920678

Least Common Multiple of 9654,7657 with GCF Formula

Least Common Multiple of 9654,7657 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 9654,7657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9654,7657) = 1

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

GCF(9654,7657) x common factors =1 x 1 = 1

LCM(9654,7657) = ( 9654 × 7657 ) / 1

LCM(9654,7657) = 73920678 / 1

LCM(9654,7657) = 73920678


Lets's calculate GCF of 929,5871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73920678/1

Therefore the LCM of Fractions 9654/929,7657/5871 is 73920678

Greatest Common Factor of 929,5871 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,5871 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1,3,19,57,103,309,1957,5871

Greatest Common Factor

We found the factors 929,5871 . The biggest common factor number is the GCF number.
So the greatest common factor 929,5871 is 1.


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 9654/929, 7657/5871

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 9654/929, 7657/5871?

Answer: LCM of Numerators as per given numbers 9654/929, 7657/5871 is

LCM of Numerators i.e. for 9654,7657 is 73920678

GCF of denominators i.e. for 929,5871 is 1.

Thus, LCM of Fractions is 73920678.Finally, LCM of Fractions for 9654/929, 7657/5871 is 73920678.