Least Common Multiple of 64/710, 52/892, 521/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/710, 52/892, 521/140 quickly i.e. 216736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/710, 52/892, 521/140 is 216736.

LCM(64/710, 52/892, 521/140) = 216736

LCM of 64/710, 52/892, 521/140

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 64/710,52/892,521/140

Given numbers are 64/710,52/892,521/140

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 64,52,521

Least Common Multiple of Numerators i.e. LCM of 64,52,521 is 433472.

GCF of Denominators means GCF of 710,892,140 as per the given fractions.

GCF of 710,892,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,52,521

LCM of Fractions 64/710,52/892,521/140 is 216736

2 64, 52, 521
2 32, 26, 521
16, 13, 521

∴ So the LCM of the given numbers is 2 x 2 x 16 x 13 x 521 = 433472

Least Common Multiple of 64,52,521 with GCF Formula

Least Common Multiple of 64,52,521 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 64,52,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,52,521) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,52,521) x common factors =1 x 4 = 4

LCM(64,52,521) = ( 64 × 52 × 521 ) / 4

LCM(64,52,521) = 1733888 / 4

LCM(64,52,521) = 433472


Lets's calculate GCF of 710,892,140

2 710, 892, 140
355, 446, 70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433472/2

Therefore the LCM of Fractions 64/710,52/892,521/140 is 216736

Greatest Common Factor of 710,892,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,892,140 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 710,892,140 . The biggest common factor number is the GCF number.
So the greatest common factor 710,892,140 is 2.


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 64/710, 52/892, 521/140

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 64/710, 52/892, 521/140?

Answer: LCM of Numerators as per given numbers 64/710, 52/892, 521/140 is

LCM of Numerators i.e. for 64,52,521 is 433472

GCF of denominators i.e. for 710,892,140 is 2.

Thus, LCM of Fractions is 216736.Finally, LCM of Fractions for 64/710, 52/892, 521/140 is 216736.