Least Common Multiple of 56/241, 24/618, 961/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/241, 24/618, 961/851 quickly i.e. 161448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/241, 24/618, 961/851 is 161448.

LCM(56/241, 24/618, 961/851) = 161448

LCM of 56/241, 24/618, 961/851

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 56/241,24/618,961/851

Given numbers are 56/241,24/618,961/851

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 56,24,961

Least Common Multiple of Numerators i.e. LCM of 56,24,961 is 161448.

GCF of Denominators means GCF of 241,618,851 as per the given fractions.

GCF of 241,618,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,24,961

LCM of Fractions 56/241,24/618,961/851 is 161448

2 56, 24, 961
2 28, 12, 961
2 14, 6, 961
7, 3, 961

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 3 x 961 = 161448

Least Common Multiple of 56,24,961 with GCF Formula

Least Common Multiple of 56,24,961 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 56,24,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,24,961) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,24,961) x common factors =1 x 8 = 8

LCM(56,24,961) = ( 56 × 24 × 961 ) / 8

LCM(56,24,961) = 1291584 / 8

LCM(56,24,961) = 161448


Lets's calculate GCF of 241,618,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161448/1

Therefore the LCM of Fractions 56/241,24/618,961/851 is 161448

Greatest Common Factor of 241,618,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,618,851 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 241,618,851 . The biggest common factor number is the GCF number.
So the greatest common factor 241,618,851 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/241, 24/618, 961/851

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 56/241, 24/618, 961/851?

Answer: LCM of Numerators as per given numbers 56/241, 24/618, 961/851 is

LCM of Numerators i.e. for 56,24,961 is 161448

GCF of denominators i.e. for 241,618,851 is 1.

Thus, LCM of Fractions is 161448.Finally, LCM of Fractions for 56/241, 24/618, 961/851 is 161448.