Least Common Multiple of 9476/52, 6588/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9476/52, 6588/968 quickly i.e. 3901743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9476/52, 6588/968 is 3901743.

LCM(9476/52, 6588/968) = 3901743

LCM of 9476/52, 6588/968

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 9476/52,6588/968

Given numbers are 9476/52,6588/968

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 9476,6588

Least Common Multiple of Numerators i.e. LCM of 9476,6588 is 15606972.

GCF of Denominators means GCF of 52,968 as per the given fractions.

GCF of 52,968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9476,6588

LCM of Fractions 9476/52,6588/968 is 3901743

2 9476, 6588
2 4738, 3294
2369, 1647

∴ So the LCM of the given numbers is 2 x 2 x 2369 x 1647 = 15606972

Least Common Multiple of 9476,6588 with GCF Formula

Least Common Multiple of 9476,6588 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 9476,6588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9476,6588) = 4

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

GCF(9476,6588) x common factors =4 x 1 = 4

LCM(9476,6588) = ( 9476 × 6588 ) / 4

LCM(9476,6588) = 62427888 / 4

LCM(9476,6588) = 15606972


Lets's calculate GCF of 52,968

2 52, 968
2 26, 484
13, 242

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15606972/4

Therefore the LCM of Fractions 9476/52,6588/968 is 3901743

Greatest Common Factor of 52,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,968 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 52,968 . The biggest common factor number is the GCF number.
So the greatest common factor 52,968 is 4.


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Frequently Asked Questions on Fractional LCM of 9476/52, 6588/968

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 9476/52, 6588/968?

Answer: LCM of Numerators as per given numbers 9476/52, 6588/968 is

LCM of Numerators i.e. for 9476,6588 is 15606972

GCF of denominators i.e. for 52,968 is 4.

Thus, LCM of Fractions is 3901743.Finally, LCM of Fractions for 9476/52, 6588/968 is 3901743.