Least Common Multiple of 54/856, 48/619, 272/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/856, 48/619, 272/894 quickly i.e. 7344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/856, 48/619, 272/894 is 7344.

LCM(54/856, 48/619, 272/894) = 7344

LCM of 54/856, 48/619, 272/894

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 54/856,48/619,272/894

Given numbers are 54/856,48/619,272/894

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 54,48,272

Least Common Multiple of Numerators i.e. LCM of 54,48,272 is 7344.

GCF of Denominators means GCF of 856,619,894 as per the given fractions.

GCF of 856,619,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,48,272

LCM of Fractions 54/856,48/619,272/894 is 7344

2 54, 48, 272
2 27, 24, 136
2 27, 12, 68
2 27, 6, 34
3 27, 3, 17
9, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 9 x 1 x 17 = 7344

Least Common Multiple of 54,48,272 with GCF Formula

Least Common Multiple of 54,48,272 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 54,48,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,48,272) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(54,48,272) x common factors =2 x 48 = 96

LCM(54,48,272) = ( 54 × 48 × 272 ) / 96

LCM(54,48,272) = 705024 / 96

LCM(54,48,272) = 7344


Lets's calculate GCF of 856,619,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7344/1

Therefore the LCM of Fractions 54/856,48/619,272/894 is 7344

Greatest Common Factor of 856,619,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,619,894 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 856,619,894 . The biggest common factor number is the GCF number.
So the greatest common factor 856,619,894 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 54/856, 48/619, 272/894

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 54/856, 48/619, 272/894?

Answer: LCM of Numerators as per given numbers 54/856, 48/619, 272/894 is

LCM of Numerators i.e. for 54,48,272 is 7344

GCF of denominators i.e. for 856,619,894 is 1.

Thus, LCM of Fractions is 7344.Finally, LCM of Fractions for 54/856, 48/619, 272/894 is 7344.