Least Common Multiple of 542/177, 9651/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 542/177, 9651/940 quickly i.e. 5230842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/177, 9651/940 is 5230842.

LCM(542/177, 9651/940) = 5230842

LCM of 542/177, 9651/940

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 542/177,9651/940

Given numbers are 542/177,9651/940

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 542,9651

Least Common Multiple of Numerators i.e. LCM of 542,9651 is 5230842.

GCF of Denominators means GCF of 177,940 as per the given fractions.

GCF of 177,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,9651

LCM of Fractions 542/177,9651/940 is 5230842

Given numbers has no common factors except 1. So, there LCM is their product i.e 5230842

Least Common Multiple of 542,9651 with GCF Formula

Least Common Multiple of 542,9651 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 542,9651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,9651) = 1

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

GCF(542,9651) x common factors =1 x 1 = 1

LCM(542,9651) = ( 542 × 9651 ) / 1

LCM(542,9651) = 5230842 / 1

LCM(542,9651) = 5230842


Lets's calculate GCF of 177,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5230842/1

Therefore the LCM of Fractions 542/177,9651/940 is 5230842

Greatest Common Factor of 177,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,940 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 177,940 . The biggest common factor number is the GCF number.
So the greatest common factor 177,940 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 542/177, 9651/940

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 542/177, 9651/940?

Answer: LCM of Numerators as per given numbers 542/177, 9651/940 is

LCM of Numerators i.e. for 542,9651 is 5230842

GCF of denominators i.e. for 177,940 is 1.

Thus, LCM of Fractions is 5230842.Finally, LCM of Fractions for 542/177, 9651/940 is 5230842.