Least Common Multiple of 87/142, 80/610, 859/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/142, 80/610, 859/596 quickly i.e. 2989320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/142, 80/610, 859/596 is 2989320.

LCM(87/142, 80/610, 859/596) = 2989320

LCM of 87/142, 80/610, 859/596

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 87/142,80/610,859/596

Given numbers are 87/142,80/610,859/596

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 87,80,859

Least Common Multiple of Numerators i.e. LCM of 87,80,859 is 5978640.

GCF of Denominators means GCF of 142,610,596 as per the given fractions.

GCF of 142,610,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,80,859

LCM of Fractions 87/142,80/610,859/596 is 2989320

Given numbers has no common factors except 1. So, there LCM is their product i.e 5978640

Least Common Multiple of 87,80,859 with GCF Formula

Least Common Multiple of 87,80,859 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 87,80,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,80,859) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,80,859) x common factors =1 x 1 = 1

LCM(87,80,859) = ( 87 × 80 × 859 ) / 1

LCM(87,80,859) = 5978640 / 1

LCM(87,80,859) = 5978640


Lets's calculate GCF of 142,610,596

2 142, 610, 596
71, 305, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5978640/2

Therefore the LCM of Fractions 87/142,80/610,859/596 is 2989320

Greatest Common Factor of 142,610,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,610,596 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 142,610,596 . The biggest common factor number is the GCF number.
So the greatest common factor 142,610,596 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 87/142, 80/610, 859/596

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 87/142, 80/610, 859/596?

Answer: LCM of Numerators as per given numbers 87/142, 80/610, 859/596 is

LCM of Numerators i.e. for 87,80,859 is 5978640

GCF of denominators i.e. for 142,610,596 is 2.

Thus, LCM of Fractions is 2989320.Finally, LCM of Fractions for 87/142, 80/610, 859/596 is 2989320.