Least Common Multiple of 661/77, 540/5717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 661/77, 540/5717 quickly i.e. 356940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/77, 540/5717 is 356940.

LCM(661/77, 540/5717) = 356940

LCM of 661/77, 540/5717

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 661/77,540/5717

Given numbers are 661/77,540/5717

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 661,540

Least Common Multiple of Numerators i.e. LCM of 661,540 is 356940.

GCF of Denominators means GCF of 77,5717 as per the given fractions.

GCF of 77,5717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,540

LCM of Fractions 661/77,540/5717 is 356940

Given numbers has no common factors except 1. So, there LCM is their product i.e 356940

Least Common Multiple of 661,540 with GCF Formula

Least Common Multiple of 661,540 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 661,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,540) = 1

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

GCF(661,540) x common factors =1 x 1 = 1

LCM(661,540) = ( 661 × 540 ) / 1

LCM(661,540) = 356940 / 1

LCM(661,540) = 356940


Lets's calculate GCF of 77,5717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356940/1

Therefore the LCM of Fractions 661/77,540/5717 is 356940

Greatest Common Factor of 77,5717 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,5717 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 5717

List of positive integer factors of 5717 that divides 5717 without a remainder.

1,5717

Greatest Common Factor

We found the factors 77,5717 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5717 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 661/77, 540/5717

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 661/77, 540/5717?

Answer: LCM of Numerators as per given numbers 661/77, 540/5717 is

LCM of Numerators i.e. for 661,540 is 356940

GCF of denominators i.e. for 77,5717 is 1.

Thus, LCM of Fractions is 356940.Finally, LCM of Fractions for 661/77, 540/5717 is 356940.