Least Common Multiple of 87/96, 12/40, 20/50, 60/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/96, 12/40, 20/50, 60/292 quickly i.e. 870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/96, 12/40, 20/50, 60/292 is 870.

LCM(87/96, 12/40, 20/50, 60/292) = 870

LCM of 87/96, 12/40, 20/50, 60/292

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 87/96,12/40,20/50,60/292

Given numbers are 87/96,12/40,20/50,60/292

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 87,12,20,60

Least Common Multiple of Numerators i.e. LCM of 87,12,20,60 is 1740.

GCF of Denominators means GCF of 96,40,50,292 as per the given fractions.

GCF of 96,40,50,292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,12,20,60

LCM of Fractions 87/96,12/40,20/50,60/292 is 870

2 87, 12, 20, 60
2 87, 6, 10, 30
3 87, 3, 5, 15
5 29, 1, 5, 5
29, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 1 x 1 x 1 = 1740

Least Common Multiple of 87,12,20,60 with GCF Formula

Least Common Multiple of 87,12,20,60 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 87,12,20,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,12,20,60) = 1

common factors(in case of two or more numbers have common factors) = 720

GCF(87,12,20,60) x common factors =1 x 720 = 720

LCM(87,12,20,60) = ( 87 × 12 × 20 × 60 ) / 720

LCM(87,12,20,60) = 1252800 / 720

LCM(87,12,20,60) = 1740


Lets's calculate GCF of 96,40,50,292

2 96, 40, 50, 292
48, 20, 25, 146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1740/2

Therefore the LCM of Fractions 87/96,12/40,20/50,60/292 is 870

Greatest Common Factor of 96,40,50,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,40,50,292 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 96,40,50,292 . The biggest common factor number is the GCF number.
So the greatest common factor 96,40,50,292 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 87/96, 12/40, 20/50, 60/292

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 87/96, 12/40, 20/50, 60/292?

Answer: LCM of Numerators as per given numbers 87/96, 12/40, 20/50, 60/292 is

LCM of Numerators i.e. for 87,12,20,60 is 1740

GCF of denominators i.e. for 96,40,50,292 is 2.

Thus, LCM of Fractions is 870.Finally, LCM of Fractions for 87/96, 12/40, 20/50, 60/292 is 870.