Least Common Multiple of 31/168, 638/803, 451/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/168, 638/803, 451/156 quickly i.e. 810898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/168, 638/803, 451/156 is 810898.

LCM(31/168, 638/803, 451/156) = 810898

LCM of 31/168, 638/803, 451/156

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 31/168,638/803,451/156

Given numbers are 31/168,638/803,451/156

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 31,638,451

Least Common Multiple of Numerators i.e. LCM of 31,638,451 is 810898.

GCF of Denominators means GCF of 168,803,156 as per the given fractions.

GCF of 168,803,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,638,451

LCM of Fractions 31/168,638/803,451/156 is 810898

11 31, 638, 451
31, 58, 41

∴ So the LCM of the given numbers is 11 x 31 x 58 x 41 = 810898

Least Common Multiple of 31,638,451 with GCF Formula

Least Common Multiple of 31,638,451 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 31,638,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,638,451) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(31,638,451) x common factors =1 x 11 = 11

LCM(31,638,451) = ( 31 × 638 × 451 ) / 11

LCM(31,638,451) = 8919878 / 11

LCM(31,638,451) = 810898


Lets's calculate GCF of 168,803,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810898/1

Therefore the LCM of Fractions 31/168,638/803,451/156 is 810898

Greatest Common Factor of 168,803,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,803,156 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 168,803,156 . The biggest common factor number is the GCF number.
So the greatest common factor 168,803,156 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 31/168, 638/803, 451/156

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 31/168, 638/803, 451/156?

Answer: LCM of Numerators as per given numbers 31/168, 638/803, 451/156 is

LCM of Numerators i.e. for 31,638,451 is 810898

GCF of denominators i.e. for 168,803,156 is 1.

Thus, LCM of Fractions is 810898.Finally, LCM of Fractions for 31/168, 638/803, 451/156 is 810898.