Least Common Multiple of 64/68, 165/57, 572/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/68, 165/57, 572/959 quickly i.e. 137280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/68, 165/57, 572/959 is 137280.

LCM(64/68, 165/57, 572/959) = 137280

LCM of 64/68, 165/57, 572/959

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 64/68,165/57,572/959

Given numbers are 64/68,165/57,572/959

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 64,165,572

Least Common Multiple of Numerators i.e. LCM of 64,165,572 is 137280.

GCF of Denominators means GCF of 68,57,959 as per the given fractions.

GCF of 68,57,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,165,572

LCM of Fractions 64/68,165/57,572/959 is 137280

2 64, 165, 572
2 32, 165, 286
11 16, 165, 143
16, 15, 13

∴ So the LCM of the given numbers is 2 x 2 x 11 x 16 x 15 x 13 = 137280

Least Common Multiple of 64,165,572 with GCF Formula

Least Common Multiple of 64,165,572 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 64,165,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,165,572) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(64,165,572) x common factors =1 x 44 = 44

LCM(64,165,572) = ( 64 × 165 × 572 ) / 44

LCM(64,165,572) = 6040320 / 44

LCM(64,165,572) = 137280


Lets's calculate GCF of 68,57,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137280/1

Therefore the LCM of Fractions 64/68,165/57,572/959 is 137280

Greatest Common Factor of 68,57,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,57,959 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 68,57,959 . The biggest common factor number is the GCF number.
So the greatest common factor 68,57,959 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/68, 165/57, 572/959

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 64/68, 165/57, 572/959?

Answer: LCM of Numerators as per given numbers 64/68, 165/57, 572/959 is

LCM of Numerators i.e. for 64,165,572 is 137280

GCF of denominators i.e. for 68,57,959 is 1.

Thus, LCM of Fractions is 137280.Finally, LCM of Fractions for 64/68, 165/57, 572/959 is 137280.