Least Common Multiple of 56/132, 26/972, 242/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/132, 26/972, 242/907 quickly i.e. 88088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/132, 26/972, 242/907 is 88088.

LCM(56/132, 26/972, 242/907) = 88088

LCM of 56/132, 26/972, 242/907

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 56/132,26/972,242/907

Given numbers are 56/132,26/972,242/907

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 56,26,242

Least Common Multiple of Numerators i.e. LCM of 56,26,242 is 88088.

GCF of Denominators means GCF of 132,972,907 as per the given fractions.

GCF of 132,972,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,26,242

LCM of Fractions 56/132,26/972,242/907 is 88088

2 56, 26, 242
28, 13, 121

∴ So the LCM of the given numbers is 2 x 28 x 13 x 121 = 88088

Least Common Multiple of 56,26,242 with GCF Formula

Least Common Multiple of 56,26,242 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 56,26,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,26,242) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(56,26,242) x common factors =2 x 2 = 4

LCM(56,26,242) = ( 56 × 26 × 242 ) / 4

LCM(56,26,242) = 352352 / 4

LCM(56,26,242) = 88088


Lets's calculate GCF of 132,972,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88088/1

Therefore the LCM of Fractions 56/132,26/972,242/907 is 88088

Greatest Common Factor of 132,972,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,972,907 By Matching Biggest Common Factor Method

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

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 132,972,907 . The biggest common factor number is the GCF number.
So the greatest common factor 132,972,907 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 56/132, 26/972, 242/907

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 56/132, 26/972, 242/907?

Answer: LCM of Numerators as per given numbers 56/132, 26/972, 242/907 is

LCM of Numerators i.e. for 56,26,242 is 88088

GCF of denominators i.e. for 132,972,907 is 1.

Thus, LCM of Fractions is 88088.Finally, LCM of Fractions for 56/132, 26/972, 242/907 is 88088.