Least Common Multiple of 60/555, 875/108, 738/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/555, 875/108, 738/393 quickly i.e. 430500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/555, 875/108, 738/393 is 430500.

LCM(60/555, 875/108, 738/393) = 430500

LCM of 60/555, 875/108, 738/393

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 60/555,875/108,738/393

Given numbers are 60/555,875/108,738/393

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 60,875,738

Least Common Multiple of Numerators i.e. LCM of 60,875,738 is 1291500.

GCF of Denominators means GCF of 555,108,393 as per the given fractions.

GCF of 555,108,393 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,875,738

LCM of Fractions 60/555,875/108,738/393 is 430500

2 60, 875, 738
3 30, 875, 369
5 10, 875, 123
2, 175, 123

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 175 x 123 = 1291500

Least Common Multiple of 60,875,738 with GCF Formula

Least Common Multiple of 60,875,738 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 60,875,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,875,738) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(60,875,738) x common factors =1 x 30 = 30

LCM(60,875,738) = ( 60 × 875 × 738 ) / 30

LCM(60,875,738) = 38745000 / 30

LCM(60,875,738) = 1291500


Lets's calculate GCF of 555,108,393

3 555, 108, 393
185, 36, 131

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1291500/3

Therefore the LCM of Fractions 60/555,875/108,738/393 is 430500

Greatest Common Factor of 555,108,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,108,393 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

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 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 555,108,393 . The biggest common factor number is the GCF number.
So the greatest common factor 555,108,393 is 3.


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 60/555, 875/108, 738/393

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 60/555, 875/108, 738/393?

Answer: LCM of Numerators as per given numbers 60/555, 875/108, 738/393 is

LCM of Numerators i.e. for 60,875,738 is 1291500

GCF of denominators i.e. for 555,108,393 is 3.

Thus, LCM of Fractions is 430500.Finally, LCM of Fractions for 60/555, 875/108, 738/393 is 430500.