Least Common Multiple of 74/957, 631/952, 780/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/957, 631/952, 780/132 quickly i.e. 18210660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/957, 631/952, 780/132 is 18210660.

LCM(74/957, 631/952, 780/132) = 18210660

LCM of 74/957, 631/952, 780/132

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 74/957,631/952,780/132

Given numbers are 74/957,631/952,780/132

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 74,631,780

Least Common Multiple of Numerators i.e. LCM of 74,631,780 is 18210660.

GCF of Denominators means GCF of 957,952,132 as per the given fractions.

GCF of 957,952,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,631,780

LCM of Fractions 74/957,631/952,780/132 is 18210660

2 74, 631, 780
37, 631, 390

∴ So the LCM of the given numbers is 2 x 37 x 631 x 390 = 18210660

Least Common Multiple of 74,631,780 with GCF Formula

Least Common Multiple of 74,631,780 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 74,631,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,631,780) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,631,780) x common factors =1 x 2 = 2

LCM(74,631,780) = ( 74 × 631 × 780 ) / 2

LCM(74,631,780) = 36421320 / 2

LCM(74,631,780) = 18210660


Lets's calculate GCF of 957,952,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18210660/1

Therefore the LCM of Fractions 74/957,631/952,780/132 is 18210660

Greatest Common Factor of 957,952,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,952,132 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 957,952,132 . The biggest common factor number is the GCF number.
So the greatest common factor 957,952,132 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 74/957, 631/952, 780/132

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 74/957, 631/952, 780/132?

Answer: LCM of Numerators as per given numbers 74/957, 631/952, 780/132 is

LCM of Numerators i.e. for 74,631,780 is 18210660

GCF of denominators i.e. for 957,952,132 is 1.

Thus, LCM of Fractions is 18210660.Finally, LCM of Fractions for 74/957, 631/952, 780/132 is 18210660.