Least Common Multiple of 31/98, 42/46, 21/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/98, 42/46, 21/78 quickly i.e. 651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/98, 42/46, 21/78 is 651.

LCM(31/98, 42/46, 21/78) = 651

LCM of 31/98, 42/46, 21/78

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 31/98,42/46,21/78

Given numbers are 31/98,42/46,21/78

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 31,42,21

Least Common Multiple of Numerators i.e. LCM of 31,42,21 is 1302.

GCF of Denominators means GCF of 98,46,78 as per the given fractions.

GCF of 98,46,78 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,42,21

LCM of Fractions 31/98,42/46,21/78 is 651

3 31, 42, 21
7 31, 14, 7
31, 2, 1

∴ So the LCM of the given numbers is 3 x 7 x 31 x 2 x 1 = 1302

Least Common Multiple of 31,42,21 with GCF Formula

Least Common Multiple of 31,42,21 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 31,42,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,42,21) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(31,42,21) x common factors =1 x 21 = 21

LCM(31,42,21) = ( 31 × 42 × 21 ) / 21

LCM(31,42,21) = 27342 / 21

LCM(31,42,21) = 1302


Lets's calculate GCF of 98,46,78

2 98, 46, 78
49, 23, 39

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1302/2

Therefore the LCM of Fractions 31/98,42/46,21/78 is 651

Greatest Common Factor of 98,46,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,46,78 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 98,46,78 . The biggest common factor number is the GCF number.
So the greatest common factor 98,46,78 is 2.


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 31/98, 42/46, 21/78

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 31/98, 42/46, 21/78?

Answer: LCM of Numerators as per given numbers 31/98, 42/46, 21/78 is

LCM of Numerators i.e. for 31,42,21 is 1302

GCF of denominators i.e. for 98,46,78 is 2.

Thus, LCM of Fractions is 651.Finally, LCM of Fractions for 31/98, 42/46, 21/78 is 651.