Least Common Multiple of 72/378, 38/272, 152/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/378, 38/272, 152/639 quickly i.e. 1368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/378, 38/272, 152/639 is 1368.

LCM(72/378, 38/272, 152/639) = 1368

LCM of 72/378, 38/272, 152/639

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 72/378,38/272,152/639

Given numbers are 72/378,38/272,152/639

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 72,38,152

Least Common Multiple of Numerators i.e. LCM of 72,38,152 is 1368.

GCF of Denominators means GCF of 378,272,639 as per the given fractions.

GCF of 378,272,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,38,152

LCM of Fractions 72/378,38/272,152/639 is 1368

2 72, 38, 152
2 36, 19, 76
2 18, 19, 38
19 9, 19, 19
9, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 9 x 1 x 1 = 1368

Least Common Multiple of 72,38,152 with GCF Formula

Least Common Multiple of 72,38,152 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 72,38,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,38,152) = 2

common factors(in case of two or more numbers have common factors) = 152

GCF(72,38,152) x common factors =2 x 152 = 304

LCM(72,38,152) = ( 72 × 38 × 152 ) / 304

LCM(72,38,152) = 415872 / 304

LCM(72,38,152) = 1368


Lets's calculate GCF of 378,272,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1368/1

Therefore the LCM of Fractions 72/378,38/272,152/639 is 1368

Greatest Common Factor of 378,272,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,272,639 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 378,272,639 . The biggest common factor number is the GCF number.
So the greatest common factor 378,272,639 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 72/378, 38/272, 152/639

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 72/378, 38/272, 152/639?

Answer: LCM of Numerators as per given numbers 72/378, 38/272, 152/639 is

LCM of Numerators i.e. for 72,38,152 is 1368

GCF of denominators i.e. for 378,272,639 is 1.

Thus, LCM of Fractions is 1368.Finally, LCM of Fractions for 72/378, 38/272, 152/639 is 1368.