Least Common Multiple of 97/31, 38/66, 87/28, 66/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/31, 38/66, 87/28, 66/657 quickly i.e. 3527502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/31, 38/66, 87/28, 66/657 is 3527502.

LCM(97/31, 38/66, 87/28, 66/657) = 3527502

LCM of 97/31, 38/66, 87/28, 66/657

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 97/31,38/66,87/28,66/657

Given numbers are 97/31,38/66,87/28,66/657

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 97,38,87,66

Least Common Multiple of Numerators i.e. LCM of 97,38,87,66 is 3527502.

GCF of Denominators means GCF of 31,66,28,657 as per the given fractions.

GCF of 31,66,28,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,38,87,66

LCM of Fractions 97/31,38/66,87/28,66/657 is 3527502

2 97, 38, 87, 66
3 97, 19, 87, 33
97, 19, 29, 11

∴ So the LCM of the given numbers is 2 x 3 x 97 x 19 x 29 x 11 = 3527502

Least Common Multiple of 97,38,87,66 with GCF Formula

Least Common Multiple of 97,38,87,66 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 97,38,87,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,38,87,66) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(97,38,87,66) x common factors =1 x 6 = 6

LCM(97,38,87,66) = ( 97 × 38 × 87 × 66 ) / 6

LCM(97,38,87,66) = 21165012 / 6

LCM(97,38,87,66) = 3527502


Lets's calculate GCF of 31,66,28,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3527502/1

Therefore the LCM of Fractions 97/31,38/66,87/28,66/657 is 3527502

Greatest Common Factor of 31,66,28,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,66,28,657 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 31,66,28,657 . The biggest common factor number is the GCF number.
So the greatest common factor 31,66,28,657 is 1.


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 97/31, 38/66, 87/28, 66/657

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 97/31, 38/66, 87/28, 66/657?

Answer: LCM of Numerators as per given numbers 97/31, 38/66, 87/28, 66/657 is

LCM of Numerators i.e. for 97,38,87,66 is 3527502

GCF of denominators i.e. for 31,66,28,657 is 1.

Thus, LCM of Fractions is 3527502.Finally, LCM of Fractions for 97/31, 38/66, 87/28, 66/657 is 3527502.