Least Common Multiple of 322/21, 704/54, 542/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/21, 704/54, 542/231 quickly i.e. 30716224/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/21, 704/54, 542/231 is 30716224/3.

LCM(322/21, 704/54, 542/231) = 30716224/3

LCM of 322/21, 704/54, 542/231

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 322/21,704/54,542/231

Given numbers are 322/21,704/54,542/231

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 322,704,542

Least Common Multiple of Numerators i.e. LCM of 322,704,542 is 30716224.

GCF of Denominators means GCF of 21,54,231 as per the given fractions.

GCF of 21,54,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,704,542

LCM of Fractions 322/21,704/54,542/231 is 30716224/3

2 322, 704, 542
161, 352, 271

∴ So the LCM of the given numbers is 2 x 161 x 352 x 271 = 30716224

Least Common Multiple of 322,704,542 with GCF Formula

Least Common Multiple of 322,704,542 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 322,704,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,704,542) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(322,704,542) x common factors =2 x 2 = 4

LCM(322,704,542) = ( 322 × 704 × 542 ) / 4

LCM(322,704,542) = 122864896 / 4

LCM(322,704,542) = 30716224


Lets's calculate GCF of 21,54,231

3 21, 54, 231
7, 18, 77

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30716224/3

Therefore the LCM of Fractions 322/21,704/54,542/231 is 30716224/3

Greatest Common Factor of 21,54,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,54,231 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 21,54,231 . The biggest common factor number is the GCF number.
So the greatest common factor 21,54,231 is 3.


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 322/21, 704/54, 542/231

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 322/21, 704/54, 542/231?

Answer: LCM of Numerators as per given numbers 322/21, 704/54, 542/231 is

LCM of Numerators i.e. for 322,704,542 is 30716224

GCF of denominators i.e. for 21,54,231 is 3.

Thus, LCM of Fractions is 30716224/3.Finally, LCM of Fractions for 322/21, 704/54, 542/231 is 30716224/3.