Least Common Multiple of 961/56, 564/36, 157/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/56, 564/36, 157/248 quickly i.e. 21273657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/56, 564/36, 157/248 is 21273657.

LCM(961/56, 564/36, 157/248) = 21273657

LCM of 961/56, 564/36, 157/248

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 961/56,564/36,157/248

Given numbers are 961/56,564/36,157/248

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 961,564,157

Least Common Multiple of Numerators i.e. LCM of 961,564,157 is 85094628.

GCF of Denominators means GCF of 56,36,248 as per the given fractions.

GCF of 56,36,248 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,564,157

LCM of Fractions 961/56,564/36,157/248 is 21273657

Given numbers has no common factors except 1. So, there LCM is their product i.e 85094628

Least Common Multiple of 961,564,157 with GCF Formula

Least Common Multiple of 961,564,157 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 961,564,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,564,157) = 1

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

GCF(961,564,157) x common factors =1 x 1 = 1

LCM(961,564,157) = ( 961 × 564 × 157 ) / 1

LCM(961,564,157) = 85094628 / 1

LCM(961,564,157) = 85094628


Lets's calculate GCF of 56,36,248

2 56, 36, 248
2 28, 18, 124
14, 9, 62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85094628/4

Therefore the LCM of Fractions 961/56,564/36,157/248 is 21273657

Greatest Common Factor of 56,36,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,36,248 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 56,36,248 . The biggest common factor number is the GCF number.
So the greatest common factor 56,36,248 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 961/56, 564/36, 157/248

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 961/56, 564/36, 157/248?

Answer: LCM of Numerators as per given numbers 961/56, 564/36, 157/248 is

LCM of Numerators i.e. for 961,564,157 is 85094628

GCF of denominators i.e. for 56,36,248 is 4.

Thus, LCM of Fractions is 21273657.Finally, LCM of Fractions for 961/56, 564/36, 157/248 is 21273657.