Least Common Multiple of 54/175, 178/434, 108/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/175, 178/434, 108/985 quickly i.e. 9612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/175, 178/434, 108/985 is 9612.

LCM(54/175, 178/434, 108/985) = 9612

LCM of 54/175, 178/434, 108/985

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 54/175,178/434,108/985

Given numbers are 54/175,178/434,108/985

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 54,178,108

Least Common Multiple of Numerators i.e. LCM of 54,178,108 is 9612.

GCF of Denominators means GCF of 175,434,985 as per the given fractions.

GCF of 175,434,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,178,108

LCM of Fractions 54/175,178/434,108/985 is 9612

2 54, 178, 108
3 27, 89, 54
3 9, 89, 18
3 3, 89, 6
1, 89, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 89 x 2 = 9612

Least Common Multiple of 54,178,108 with GCF Formula

Least Common Multiple of 54,178,108 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 54,178,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,178,108) = 2

common factors(in case of two or more numbers have common factors) = 54

GCF(54,178,108) x common factors =2 x 54 = 108

LCM(54,178,108) = ( 54 × 178 × 108 ) / 108

LCM(54,178,108) = 1038096 / 108

LCM(54,178,108) = 9612


Lets's calculate GCF of 175,434,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9612/1

Therefore the LCM of Fractions 54/175,178/434,108/985 is 9612

Greatest Common Factor of 175,434,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,434,985 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 175,434,985 . The biggest common factor number is the GCF number.
So the greatest common factor 175,434,985 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 54/175, 178/434, 108/985

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 54/175, 178/434, 108/985?

Answer: LCM of Numerators as per given numbers 54/175, 178/434, 108/985 is

LCM of Numerators i.e. for 54,178,108 is 9612

GCF of denominators i.e. for 175,434,985 is 1.

Thus, LCM of Fractions is 9612.Finally, LCM of Fractions for 54/175, 178/434, 108/985 is 9612.