Least Common Multiple of 20/54, 172/49, 450/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/54, 172/49, 450/381 quickly i.e. 38700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/54, 172/49, 450/381 is 38700.

LCM(20/54, 172/49, 450/381) = 38700

LCM of 20/54, 172/49, 450/381

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 20/54,172/49,450/381

Given numbers are 20/54,172/49,450/381

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 20,172,450

Least Common Multiple of Numerators i.e. LCM of 20,172,450 is 38700.

GCF of Denominators means GCF of 54,49,381 as per the given fractions.

GCF of 54,49,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,172,450

LCM of Fractions 20/54,172/49,450/381 is 38700

2 20, 172, 450
2 10, 86, 225
5 5, 43, 225
1, 43, 45

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 43 x 45 = 38700

Least Common Multiple of 20,172,450 with GCF Formula

Least Common Multiple of 20,172,450 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 20,172,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,172,450) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(20,172,450) x common factors =2 x 20 = 40

LCM(20,172,450) = ( 20 × 172 × 450 ) / 40

LCM(20,172,450) = 1548000 / 40

LCM(20,172,450) = 38700


Lets's calculate GCF of 54,49,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38700/1

Therefore the LCM of Fractions 20/54,172/49,450/381 is 38700

Greatest Common Factor of 54,49,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,49,381 By Matching Biggest Common Factor Method

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 49

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

1,7,49

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 54,49,381 . The biggest common factor number is the GCF number.
So the greatest common factor 54,49,381 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 20/54, 172/49, 450/381

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 20/54, 172/49, 450/381?

Answer: LCM of Numerators as per given numbers 20/54, 172/49, 450/381 is

LCM of Numerators i.e. for 20,172,450 is 38700

GCF of denominators i.e. for 54,49,381 is 1.

Thus, LCM of Fractions is 38700.Finally, LCM of Fractions for 20/54, 172/49, 450/381 is 38700.