Least Common Multiple of 60/297, 54/362, 318/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/297, 54/362, 318/177 quickly i.e. 28620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/297, 54/362, 318/177 is 28620.

LCM(60/297, 54/362, 318/177) = 28620

LCM of 60/297, 54/362, 318/177

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 60/297,54/362,318/177

Given numbers are 60/297,54/362,318/177

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 60,54,318

Least Common Multiple of Numerators i.e. LCM of 60,54,318 is 28620.

GCF of Denominators means GCF of 297,362,177 as per the given fractions.

GCF of 297,362,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,54,318

LCM of Fractions 60/297,54/362,318/177 is 28620

2 60, 54, 318
3 30, 27, 159
10, 9, 53

∴ So the LCM of the given numbers is 2 x 3 x 10 x 9 x 53 = 28620

Least Common Multiple of 60,54,318 with GCF Formula

Least Common Multiple of 60,54,318 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 60,54,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,54,318) = 6

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

GCF(60,54,318) x common factors =6 x 6 = 36

LCM(60,54,318) = ( 60 × 54 × 318 ) / 36

LCM(60,54,318) = 1030320 / 36

LCM(60,54,318) = 28620


Lets's calculate GCF of 297,362,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28620/1

Therefore the LCM of Fractions 60/297,54/362,318/177 is 28620

Greatest Common Factor of 297,362,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,362,177 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 297,362,177 . The biggest common factor number is the GCF number.
So the greatest common factor 297,362,177 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 60/297, 54/362, 318/177

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 60/297, 54/362, 318/177?

Answer: LCM of Numerators as per given numbers 60/297, 54/362, 318/177 is

LCM of Numerators i.e. for 60,54,318 is 28620

GCF of denominators i.e. for 297,362,177 is 1.

Thus, LCM of Fractions is 28620.Finally, LCM of Fractions for 60/297, 54/362, 318/177 is 28620.