Least Common Multiple of 21/38, 56/29, 68/21, 97/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/38, 56/29, 68/21, 97/902 quickly i.e. 277032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/38, 56/29, 68/21, 97/902 is 277032.

LCM(21/38, 56/29, 68/21, 97/902) = 277032

LCM of 21/38, 56/29, 68/21, 97/902

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 21/38,56/29,68/21,97/902

Given numbers are 21/38,56/29,68/21,97/902

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 21,56,68,97

Least Common Multiple of Numerators i.e. LCM of 21,56,68,97 is 277032.

GCF of Denominators means GCF of 38,29,21,902 as per the given fractions.

GCF of 38,29,21,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,56,68,97

LCM of Fractions 21/38,56/29,68/21,97/902 is 277032

2 21, 56, 68, 97
2 21, 28, 34, 97
7 21, 14, 17, 97
3, 2, 17, 97

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 2 x 17 x 97 = 277032

Least Common Multiple of 21,56,68,97 with GCF Formula

Least Common Multiple of 21,56,68,97 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 21,56,68,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,56,68,97) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(21,56,68,97) x common factors =1 x 28 = 28

LCM(21,56,68,97) = ( 21 × 56 × 68 × 97 ) / 28

LCM(21,56,68,97) = 7756896 / 28

LCM(21,56,68,97) = 277032


Lets's calculate GCF of 38,29,21,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277032/1

Therefore the LCM of Fractions 21/38,56/29,68/21,97/902 is 277032

Greatest Common Factor of 38,29,21,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,29,21,902 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 21

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

1,3,7,21

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 38,29,21,902 . The biggest common factor number is the GCF number.
So the greatest common factor 38,29,21,902 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 21/38, 56/29, 68/21, 97/902

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 21/38, 56/29, 68/21, 97/902?

Answer: LCM of Numerators as per given numbers 21/38, 56/29, 68/21, 97/902 is

LCM of Numerators i.e. for 21,56,68,97 is 277032

GCF of denominators i.e. for 38,29,21,902 is 1.

Thus, LCM of Fractions is 277032.Finally, LCM of Fractions for 21/38, 56/29, 68/21, 97/902 is 277032.