Least Common Multiple of 96/84, 687/64, 260/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/84, 687/64, 260/520 quickly i.e. 357240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/84, 687/64, 260/520 is 357240.

LCM(96/84, 687/64, 260/520) = 357240

LCM of 96/84, 687/64, 260/520

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 96/84,687/64,260/520

Given numbers are 96/84,687/64,260/520

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 96,687,260

Least Common Multiple of Numerators i.e. LCM of 96,687,260 is 1428960.

GCF of Denominators means GCF of 84,64,520 as per the given fractions.

GCF of 84,64,520 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,687,260

LCM of Fractions 96/84,687/64,260/520 is 357240

2 96, 687, 260
2 48, 687, 130
3 24, 687, 65
8, 229, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 229 x 65 = 1428960

Least Common Multiple of 96,687,260 with GCF Formula

Least Common Multiple of 96,687,260 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 96,687,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,687,260) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(96,687,260) x common factors =1 x 12 = 12

LCM(96,687,260) = ( 96 × 687 × 260 ) / 12

LCM(96,687,260) = 17147520 / 12

LCM(96,687,260) = 1428960


Lets's calculate GCF of 84,64,520

2 84, 64, 520
2 42, 32, 260
21, 16, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428960/4

Therefore the LCM of Fractions 96/84,687/64,260/520 is 357240

Greatest Common Factor of 84,64,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,64,520 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 84,64,520 . The biggest common factor number is the GCF number.
So the greatest common factor 84,64,520 is 4.


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 96/84, 687/64, 260/520

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 96/84, 687/64, 260/520?

Answer: LCM of Numerators as per given numbers 96/84, 687/64, 260/520 is

LCM of Numerators i.e. for 96,687,260 is 1428960

GCF of denominators i.e. for 84,64,520 is 4.

Thus, LCM of Fractions is 357240.Finally, LCM of Fractions for 96/84, 687/64, 260/520 is 357240.