Least Common Multiple of 252/66, 220/64, 197/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 252/66, 220/64, 197/657 quickly i.e. 2730420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/66, 220/64, 197/657 is 2730420.

LCM(252/66, 220/64, 197/657) = 2730420

LCM of 252/66, 220/64, 197/657

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 252/66,220/64,197/657

Given numbers are 252/66,220/64,197/657

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 252,220,197

Least Common Multiple of Numerators i.e. LCM of 252,220,197 is 2730420.

GCF of Denominators means GCF of 66,64,657 as per the given fractions.

GCF of 66,64,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,220,197

LCM of Fractions 252/66,220/64,197/657 is 2730420

2 252, 220, 197
2 126, 110, 197
63, 55, 197

∴ So the LCM of the given numbers is 2 x 2 x 63 x 55 x 197 = 2730420

Least Common Multiple of 252,220,197 with GCF Formula

Least Common Multiple of 252,220,197 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 252,220,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,220,197) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(252,220,197) x common factors =1 x 4 = 4

LCM(252,220,197) = ( 252 × 220 × 197 ) / 4

LCM(252,220,197) = 10921680 / 4

LCM(252,220,197) = 2730420


Lets's calculate GCF of 66,64,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730420/1

Therefore the LCM of Fractions 252/66,220/64,197/657 is 2730420

Greatest Common Factor of 66,64,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,64,657 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 66,64,657 . The biggest common factor number is the GCF number.
So the greatest common factor 66,64,657 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 252/66, 220/64, 197/657

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 252/66, 220/64, 197/657?

Answer: LCM of Numerators as per given numbers 252/66, 220/64, 197/657 is

LCM of Numerators i.e. for 252,220,197 is 2730420

GCF of denominators i.e. for 66,64,657 is 1.

Thus, LCM of Fractions is 2730420.Finally, LCM of Fractions for 252/66, 220/64, 197/657 is 2730420.