Least Common Multiple of 54/84, 370/54, 272/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/84, 370/54, 272/848 quickly i.e. 679320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/84, 370/54, 272/848 is 679320.

LCM(54/84, 370/54, 272/848) = 679320

LCM of 54/84, 370/54, 272/848

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 54/84,370/54,272/848

Given numbers are 54/84,370/54,272/848

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 54,370,272

Least Common Multiple of Numerators i.e. LCM of 54,370,272 is 1358640.

GCF of Denominators means GCF of 84,54,848 as per the given fractions.

GCF of 84,54,848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,370,272

LCM of Fractions 54/84,370/54,272/848 is 679320

2 54, 370, 272
27, 185, 136

∴ So the LCM of the given numbers is 2 x 27 x 185 x 136 = 1358640

Least Common Multiple of 54,370,272 with GCF Formula

Least Common Multiple of 54,370,272 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 54,370,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,370,272) = 2

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

GCF(54,370,272) x common factors =2 x 2 = 4

LCM(54,370,272) = ( 54 × 370 × 272 ) / 4

LCM(54,370,272) = 5434560 / 4

LCM(54,370,272) = 1358640


Lets's calculate GCF of 84,54,848

2 84, 54, 848
42, 27, 424

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1358640/2

Therefore the LCM of Fractions 54/84,370/54,272/848 is 679320

Greatest Common Factor of 84,54,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,54,848 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 84,54,848 . The biggest common factor number is the GCF number.
So the greatest common factor 84,54,848 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/84, 370/54, 272/848

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 54/84, 370/54, 272/848?

Answer: LCM of Numerators as per given numbers 54/84, 370/54, 272/848 is

LCM of Numerators i.e. for 54,370,272 is 1358640

GCF of denominators i.e. for 84,54,848 is 2.

Thus, LCM of Fractions is 679320.Finally, LCM of Fractions for 54/84, 370/54, 272/848 is 679320.