Least Common Multiple of 31/21, 63/517, 978/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/21, 63/517, 978/735 quickly i.e. 636678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/21, 63/517, 978/735 is 636678.

LCM(31/21, 63/517, 978/735) = 636678

LCM of 31/21, 63/517, 978/735

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 31/21,63/517,978/735

Given numbers are 31/21,63/517,978/735

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 31,63,978

Least Common Multiple of Numerators i.e. LCM of 31,63,978 is 636678.

GCF of Denominators means GCF of 21,517,735 as per the given fractions.

GCF of 21,517,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,63,978

LCM of Fractions 31/21,63/517,978/735 is 636678

3 31, 63, 978
31, 21, 326

∴ So the LCM of the given numbers is 3 x 31 x 21 x 326 = 636678

Least Common Multiple of 31,63,978 with GCF Formula

Least Common Multiple of 31,63,978 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 31,63,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,63,978) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,63,978) x common factors =1 x 3 = 3

LCM(31,63,978) = ( 31 × 63 × 978 ) / 3

LCM(31,63,978) = 1910034 / 3

LCM(31,63,978) = 636678


Lets's calculate GCF of 21,517,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 636678/1

Therefore the LCM of Fractions 31/21,63/517,978/735 is 636678

Greatest Common Factor of 21,517,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,517,735 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 21,517,735 . The biggest common factor number is the GCF number.
So the greatest common factor 21,517,735 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 31/21, 63/517, 978/735

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 31/21, 63/517, 978/735?

Answer: LCM of Numerators as per given numbers 31/21, 63/517, 978/735 is

LCM of Numerators i.e. for 31,63,978 is 636678

GCF of denominators i.e. for 21,517,735 is 1.

Thus, LCM of Fractions is 636678.Finally, LCM of Fractions for 31/21, 63/517, 978/735 is 636678.