Least Common Multiple of 87/512, 26/151, 691/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/512, 26/151, 691/132 quickly i.e. 1563042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/512, 26/151, 691/132 is 1563042.

LCM(87/512, 26/151, 691/132) = 1563042

LCM of 87/512, 26/151, 691/132

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 87/512,26/151,691/132

Given numbers are 87/512,26/151,691/132

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 87,26,691

Least Common Multiple of Numerators i.e. LCM of 87,26,691 is 1563042.

GCF of Denominators means GCF of 512,151,132 as per the given fractions.

GCF of 512,151,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,26,691

LCM of Fractions 87/512,26/151,691/132 is 1563042

Given numbers has no common factors except 1. So, there LCM is their product i.e 1563042

Least Common Multiple of 87,26,691 with GCF Formula

Least Common Multiple of 87,26,691 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 87,26,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,26,691) = 1

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

GCF(87,26,691) x common factors =1 x 1 = 1

LCM(87,26,691) = ( 87 × 26 × 691 ) / 1

LCM(87,26,691) = 1563042 / 1

LCM(87,26,691) = 1563042


Lets's calculate GCF of 512,151,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563042/1

Therefore the LCM of Fractions 87/512,26/151,691/132 is 1563042

Greatest Common Factor of 512,151,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,151,132 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 512,151,132 . The biggest common factor number is the GCF number.
So the greatest common factor 512,151,132 is 1.


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 87/512, 26/151, 691/132

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 87/512, 26/151, 691/132?

Answer: LCM of Numerators as per given numbers 87/512, 26/151, 691/132 is

LCM of Numerators i.e. for 87,26,691 is 1563042

GCF of denominators i.e. for 512,151,132 is 1.

Thus, LCM of Fractions is 1563042.Finally, LCM of Fractions for 87/512, 26/151, 691/132 is 1563042.