Least Common Multiple of 54/108, 822/284, 975/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/108, 822/284, 975/178 quickly i.e. 1202175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/108, 822/284, 975/178 is 1202175.

LCM(54/108, 822/284, 975/178) = 1202175

LCM of 54/108, 822/284, 975/178

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 54/108,822/284,975/178

Given numbers are 54/108,822/284,975/178

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 54,822,975

Least Common Multiple of Numerators i.e. LCM of 54,822,975 is 2404350.

GCF of Denominators means GCF of 108,284,178 as per the given fractions.

GCF of 108,284,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,822,975

LCM of Fractions 54/108,822/284,975/178 is 1202175

2 54, 822, 975
3 27, 411, 975
9, 137, 325

∴ So the LCM of the given numbers is 2 x 3 x 9 x 137 x 325 = 2404350

Least Common Multiple of 54,822,975 with GCF Formula

Least Common Multiple of 54,822,975 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 54,822,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,822,975) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,822,975) x common factors =3 x 6 = 18

LCM(54,822,975) = ( 54 × 822 × 975 ) / 18

LCM(54,822,975) = 43278300 / 18

LCM(54,822,975) = 2404350


Lets's calculate GCF of 108,284,178

2 108, 284, 178
54, 142, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2404350/2

Therefore the LCM of Fractions 54/108,822/284,975/178 is 1202175

Greatest Common Factor of 108,284,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,284,178 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 108,284,178 . The biggest common factor number is the GCF number.
So the greatest common factor 108,284,178 is 2.


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 54/108, 822/284, 975/178

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 54/108, 822/284, 975/178?

Answer: LCM of Numerators as per given numbers 54/108, 822/284, 975/178 is

LCM of Numerators i.e. for 54,822,975 is 2404350

GCF of denominators i.e. for 108,284,178 is 2.

Thus, LCM of Fractions is 1202175.Finally, LCM of Fractions for 54/108, 822/284, 975/178 is 1202175.