Least Common Multiple of 156/36, 879/83, 454/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/36, 879/83, 454/112 quickly i.e. 10375716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/36, 879/83, 454/112 is 10375716.

LCM(156/36, 879/83, 454/112) = 10375716

LCM of 156/36, 879/83, 454/112

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 156/36,879/83,454/112

Given numbers are 156/36,879/83,454/112

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 156,879,454

Least Common Multiple of Numerators i.e. LCM of 156,879,454 is 10375716.

GCF of Denominators means GCF of 36,83,112 as per the given fractions.

GCF of 36,83,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,879,454

LCM of Fractions 156/36,879/83,454/112 is 10375716

2 156, 879, 454
3 78, 879, 227
26, 293, 227

∴ So the LCM of the given numbers is 2 x 3 x 26 x 293 x 227 = 10375716

Least Common Multiple of 156,879,454 with GCF Formula

Least Common Multiple of 156,879,454 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 156,879,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,879,454) = 1

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

GCF(156,879,454) x common factors =1 x 6 = 6

LCM(156,879,454) = ( 156 × 879 × 454 ) / 6

LCM(156,879,454) = 62254296 / 6

LCM(156,879,454) = 10375716


Lets's calculate GCF of 36,83,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10375716/1

Therefore the LCM of Fractions 156/36,879/83,454/112 is 10375716

Greatest Common Factor of 36,83,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,83,112 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 36,83,112 . The biggest common factor number is the GCF number.
So the greatest common factor 36,83,112 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 156/36, 879/83, 454/112

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 156/36, 879/83, 454/112?

Answer: LCM of Numerators as per given numbers 156/36, 879/83, 454/112 is

LCM of Numerators i.e. for 156,879,454 is 10375716

GCF of denominators i.e. for 36,83,112 is 1.

Thus, LCM of Fractions is 10375716.Finally, LCM of Fractions for 156/36, 879/83, 454/112 is 10375716.