Least Common Multiple of 13/21, 84/640, 987/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/21, 84/640, 987/942 quickly i.e. 51324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/21, 84/640, 987/942 is 51324.

LCM(13/21, 84/640, 987/942) = 51324

LCM of 13/21, 84/640, 987/942

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 13/21,84/640,987/942

Given numbers are 13/21,84/640,987/942

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 13,84,987

Least Common Multiple of Numerators i.e. LCM of 13,84,987 is 51324.

GCF of Denominators means GCF of 21,640,942 as per the given fractions.

GCF of 21,640,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,84,987

LCM of Fractions 13/21,84/640,987/942 is 51324

3 13, 84, 987
7 13, 28, 329
13, 4, 47

∴ So the LCM of the given numbers is 3 x 7 x 13 x 4 x 47 = 51324

Least Common Multiple of 13,84,987 with GCF Formula

Least Common Multiple of 13,84,987 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 13,84,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,84,987) = 1

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

GCF(13,84,987) x common factors =1 x 21 = 21

LCM(13,84,987) = ( 13 × 84 × 987 ) / 21

LCM(13,84,987) = 1077804 / 21

LCM(13,84,987) = 51324


Lets's calculate GCF of 21,640,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51324/1

Therefore the LCM of Fractions 13/21,84/640,987/942 is 51324

Greatest Common Factor of 21,640,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,640,942 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 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 21,640,942 . The biggest common factor number is the GCF number.
So the greatest common factor 21,640,942 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 13/21, 84/640, 987/942

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 13/21, 84/640, 987/942?

Answer: LCM of Numerators as per given numbers 13/21, 84/640, 987/942 is

LCM of Numerators i.e. for 13,84,987 is 51324

GCF of denominators i.e. for 21,640,942 is 1.

Thus, LCM of Fractions is 51324.Finally, LCM of Fractions for 13/21, 84/640, 987/942 is 51324.