Least Common Multiple of 21/49, 96/27, 32/34, 84/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/49, 96/27, 32/34, 84/518 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/49, 96/27, 32/34, 84/518 is 672.

LCM(21/49, 96/27, 32/34, 84/518) = 672

LCM of 21/49, 96/27, 32/34, 84/518

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 21/49,96/27,32/34,84/518

Given numbers are 21/49,96/27,32/34,84/518

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 21,96,32,84

Least Common Multiple of Numerators i.e. LCM of 21,96,32,84 is 672.

GCF of Denominators means GCF of 49,27,34,518 as per the given fractions.

GCF of 49,27,34,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,96,32,84

LCM of Fractions 21/49,96/27,32/34,84/518 is 672

2 21, 96, 32, 84
2 21, 48, 16, 42
2 21, 24, 8, 21
2 21, 12, 4, 21
2 21, 6, 2, 21
3 21, 3, 1, 21
7 7, 1, 1, 7
1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 1 x 1 x 1 = 672

Least Common Multiple of 21,96,32,84 with GCF Formula

Least Common Multiple of 21,96,32,84 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 21,96,32,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,96,32,84) = 1

common factors(in case of two or more numbers have common factors) = 8064

GCF(21,96,32,84) x common factors =1 x 8064 = 8064

LCM(21,96,32,84) = ( 21 × 96 × 32 × 84 ) / 8064

LCM(21,96,32,84) = 5419008 / 8064

LCM(21,96,32,84) = 672


Lets's calculate GCF of 49,27,34,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/1

Therefore the LCM of Fractions 21/49,96/27,32/34,84/518 is 672

Greatest Common Factor of 49,27,34,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,27,34,518 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 49,27,34,518 . The biggest common factor number is the GCF number.
So the greatest common factor 49,27,34,518 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 21/49, 96/27, 32/34, 84/518

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 21/49, 96/27, 32/34, 84/518?

Answer: LCM of Numerators as per given numbers 21/49, 96/27, 32/34, 84/518 is

LCM of Numerators i.e. for 21,96,32,84 is 672

GCF of denominators i.e. for 49,27,34,518 is 1.

Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 21/49, 96/27, 32/34, 84/518 is 672.