Least Common Multiple of 60/120, 91/710, 855/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/120, 91/710, 855/842 quickly i.e. 155610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/120, 91/710, 855/842 is 155610.

LCM(60/120, 91/710, 855/842) = 155610

LCM of 60/120, 91/710, 855/842

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 60/120,91/710,855/842

Given numbers are 60/120,91/710,855/842

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 60,91,855

Least Common Multiple of Numerators i.e. LCM of 60,91,855 is 311220.

GCF of Denominators means GCF of 120,710,842 as per the given fractions.

GCF of 120,710,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,91,855

LCM of Fractions 60/120,91/710,855/842 is 155610

3 60, 91, 855
5 20, 91, 285
4, 91, 57

∴ So the LCM of the given numbers is 3 x 5 x 4 x 91 x 57 = 311220

Least Common Multiple of 60,91,855 with GCF Formula

Least Common Multiple of 60,91,855 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 60,91,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,91,855) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,91,855) x common factors =1 x 15 = 15

LCM(60,91,855) = ( 60 × 91 × 855 ) / 15

LCM(60,91,855) = 4668300 / 15

LCM(60,91,855) = 311220


Lets's calculate GCF of 120,710,842

2 120, 710, 842
60, 355, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311220/2

Therefore the LCM of Fractions 60/120,91/710,855/842 is 155610

Greatest Common Factor of 120,710,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,710,842 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 120,710,842 . The biggest common factor number is the GCF number.
So the greatest common factor 120,710,842 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 60/120, 91/710, 855/842

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 60/120, 91/710, 855/842?

Answer: LCM of Numerators as per given numbers 60/120, 91/710, 855/842 is

LCM of Numerators i.e. for 60,91,855 is 311220

GCF of denominators i.e. for 120,710,842 is 2.

Thus, LCM of Fractions is 155610.Finally, LCM of Fractions for 60/120, 91/710, 855/842 is 155610.