Least Common Multiple of 36/456, 56/867, 206/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/456, 56/867, 206/956 quickly i.e. 51912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/456, 56/867, 206/956 is 51912.

LCM(36/456, 56/867, 206/956) = 51912

LCM of 36/456, 56/867, 206/956

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 36/456,56/867,206/956

Given numbers are 36/456,56/867,206/956

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 36,56,206

Least Common Multiple of Numerators i.e. LCM of 36,56,206 is 51912.

GCF of Denominators means GCF of 456,867,956 as per the given fractions.

GCF of 456,867,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,56,206

LCM of Fractions 36/456,56/867,206/956 is 51912

2 36, 56, 206
2 18, 28, 103
9, 14, 103

∴ So the LCM of the given numbers is 2 x 2 x 9 x 14 x 103 = 51912

Least Common Multiple of 36,56,206 with GCF Formula

Least Common Multiple of 36,56,206 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 36,56,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,56,206) = 2

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

GCF(36,56,206) x common factors =2 x 4 = 8

LCM(36,56,206) = ( 36 × 56 × 206 ) / 8

LCM(36,56,206) = 415296 / 8

LCM(36,56,206) = 51912


Lets's calculate GCF of 456,867,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51912/1

Therefore the LCM of Fractions 36/456,56/867,206/956 is 51912

Greatest Common Factor of 456,867,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,867,956 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 456,867,956 . The biggest common factor number is the GCF number.
So the greatest common factor 456,867,956 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 36/456, 56/867, 206/956

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 36/456, 56/867, 206/956?

Answer: LCM of Numerators as per given numbers 36/456, 56/867, 206/956 is

LCM of Numerators i.e. for 36,56,206 is 51912

GCF of denominators i.e. for 456,867,956 is 1.

Thus, LCM of Fractions is 51912.Finally, LCM of Fractions for 36/456, 56/867, 206/956 is 51912.