Least Common Multiple of 873/60, 420/96, 713/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/60, 420/96, 713/688 quickly i.e. 21785715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/60, 420/96, 713/688 is 21785715.

LCM(873/60, 420/96, 713/688) = 21785715

LCM of 873/60, 420/96, 713/688

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 873/60,420/96,713/688

Given numbers are 873/60,420/96,713/688

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 873,420,713

Least Common Multiple of Numerators i.e. LCM of 873,420,713 is 87142860.

GCF of Denominators means GCF of 60,96,688 as per the given fractions.

GCF of 60,96,688 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,420,713

LCM of Fractions 873/60,420/96,713/688 is 21785715

3 873, 420, 713
291, 140, 713

∴ So the LCM of the given numbers is 3 x 291 x 140 x 713 = 87142860

Least Common Multiple of 873,420,713 with GCF Formula

Least Common Multiple of 873,420,713 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 873,420,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,420,713) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(873,420,713) x common factors =1 x 3 = 3

LCM(873,420,713) = ( 873 × 420 × 713 ) / 3

LCM(873,420,713) = 261428580 / 3

LCM(873,420,713) = 87142860


Lets's calculate GCF of 60,96,688

2 60, 96, 688
2 30, 48, 344
15, 24, 172

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87142860/4

Therefore the LCM of Fractions 873/60,420/96,713/688 is 21785715

Greatest Common Factor of 60,96,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,96,688 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 60,96,688 . The biggest common factor number is the GCF number.
So the greatest common factor 60,96,688 is 4.


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 873/60, 420/96, 713/688

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 873/60, 420/96, 713/688?

Answer: LCM of Numerators as per given numbers 873/60, 420/96, 713/688 is

LCM of Numerators i.e. for 873,420,713 is 87142860

GCF of denominators i.e. for 60,96,688 is 4.

Thus, LCM of Fractions is 21785715.Finally, LCM of Fractions for 873/60, 420/96, 713/688 is 21785715.