Least Common Multiple of 84/12, 60/96, 40/30, 21/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/12, 60/96, 40/30, 21/521 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/12, 60/96, 40/30, 21/521 is 840.

LCM(84/12, 60/96, 40/30, 21/521) = 840

LCM of 84/12, 60/96, 40/30, 21/521

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 84/12,60/96,40/30,21/521

Given numbers are 84/12,60/96,40/30,21/521

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 84,60,40,21

Least Common Multiple of Numerators i.e. LCM of 84,60,40,21 is 840.

GCF of Denominators means GCF of 12,96,30,521 as per the given fractions.

GCF of 12,96,30,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,60,40,21

LCM of Fractions 84/12,60/96,40/30,21/521 is 840

2 84, 60, 40, 21
2 42, 30, 20, 21
3 21, 15, 10, 21
5 7, 5, 10, 7
7 7, 1, 2, 7
1, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 2 x 1 = 840

Least Common Multiple of 84,60,40,21 with GCF Formula

Least Common Multiple of 84,60,40,21 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 84,60,40,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,60,40,21) = 1

common factors(in case of two or more numbers have common factors) = 5040

GCF(84,60,40,21) x common factors =1 x 5040 = 5040

LCM(84,60,40,21) = ( 84 × 60 × 40 × 21 ) / 5040

LCM(84,60,40,21) = 4233600 / 5040

LCM(84,60,40,21) = 840


Lets's calculate GCF of 12,96,30,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/1

Therefore the LCM of Fractions 84/12,60/96,40/30,21/521 is 840

Greatest Common Factor of 12,96,30,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,96,30,521 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 12,96,30,521 . The biggest common factor number is the GCF number.
So the greatest common factor 12,96,30,521 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 84/12, 60/96, 40/30, 21/521

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 84/12, 60/96, 40/30, 21/521?

Answer: LCM of Numerators as per given numbers 84/12, 60/96, 40/30, 21/521 is

LCM of Numerators i.e. for 84,60,40,21 is 840

GCF of denominators i.e. for 12,96,30,521 is 1.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 84/12, 60/96, 40/30, 21/521 is 840.