Least Common Multiple of 60/18, 54/31, 763/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/18, 54/31, 763/238 quickly i.e. 412020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/18, 54/31, 763/238 is 412020.

LCM(60/18, 54/31, 763/238) = 412020

LCM of 60/18, 54/31, 763/238

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 60/18,54/31,763/238

Given numbers are 60/18,54/31,763/238

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 60,54,763

Least Common Multiple of Numerators i.e. LCM of 60,54,763 is 412020.

GCF of Denominators means GCF of 18,31,238 as per the given fractions.

GCF of 18,31,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,54,763

LCM of Fractions 60/18,54/31,763/238 is 412020

2 60, 54, 763
3 30, 27, 763
10, 9, 763

∴ So the LCM of the given numbers is 2 x 3 x 10 x 9 x 763 = 412020

Least Common Multiple of 60,54,763 with GCF Formula

Least Common Multiple of 60,54,763 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 60,54,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,54,763) = 1

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

GCF(60,54,763) x common factors =1 x 6 = 6

LCM(60,54,763) = ( 60 × 54 × 763 ) / 6

LCM(60,54,763) = 2472120 / 6

LCM(60,54,763) = 412020


Lets's calculate GCF of 18,31,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412020/1

Therefore the LCM of Fractions 60/18,54/31,763/238 is 412020

Greatest Common Factor of 18,31,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,31,238 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 18,31,238 . The biggest common factor number is the GCF number.
So the greatest common factor 18,31,238 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 60/18, 54/31, 763/238

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 60/18, 54/31, 763/238?

Answer: LCM of Numerators as per given numbers 60/18, 54/31, 763/238 is

LCM of Numerators i.e. for 60,54,763 is 412020

GCF of denominators i.e. for 18,31,238 is 1.

Thus, LCM of Fractions is 412020.Finally, LCM of Fractions for 60/18, 54/31, 763/238 is 412020.