Least Common Multiple of 36/957, 56/628, 460/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/957, 56/628, 460/202 quickly i.e. 57960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/957, 56/628, 460/202 is 57960.

LCM(36/957, 56/628, 460/202) = 57960

LCM of 36/957, 56/628, 460/202

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 36/957,56/628,460/202

Given numbers are 36/957,56/628,460/202

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 36,56,460

Least Common Multiple of Numerators i.e. LCM of 36,56,460 is 57960.

GCF of Denominators means GCF of 957,628,202 as per the given fractions.

GCF of 957,628,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,56,460

LCM of Fractions 36/957,56/628,460/202 is 57960

2 36, 56, 460
2 18, 28, 230
9, 14, 115

∴ So the LCM of the given numbers is 2 x 2 x 9 x 14 x 115 = 57960

Least Common Multiple of 36,56,460 with GCF Formula

Least Common Multiple of 36,56,460 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 36,56,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,56,460) = 4

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

GCF(36,56,460) x common factors =4 x 4 = 16

LCM(36,56,460) = ( 36 × 56 × 460 ) / 16

LCM(36,56,460) = 927360 / 16

LCM(36,56,460) = 57960


Lets's calculate GCF of 957,628,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57960/1

Therefore the LCM of Fractions 36/957,56/628,460/202 is 57960

Greatest Common Factor of 957,628,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,628,202 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 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 957,628,202 . The biggest common factor number is the GCF number.
So the greatest common factor 957,628,202 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 36/957, 56/628, 460/202

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 36/957, 56/628, 460/202?

Answer: LCM of Numerators as per given numbers 36/957, 56/628, 460/202 is

LCM of Numerators i.e. for 36,56,460 is 57960

GCF of denominators i.e. for 957,628,202 is 1.

Thus, LCM of Fractions is 57960.Finally, LCM of Fractions for 36/957, 56/628, 460/202 is 57960.