Least Common Multiple of 87/220, 82/157, 706/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/220, 82/157, 706/694 quickly i.e. 2518302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/220, 82/157, 706/694 is 2518302.

LCM(87/220, 82/157, 706/694) = 2518302

LCM of 87/220, 82/157, 706/694

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 87/220,82/157,706/694

Given numbers are 87/220,82/157,706/694

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 87,82,706

Least Common Multiple of Numerators i.e. LCM of 87,82,706 is 2518302.

GCF of Denominators means GCF of 220,157,694 as per the given fractions.

GCF of 220,157,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,82,706

LCM of Fractions 87/220,82/157,706/694 is 2518302

2 87, 82, 706
87, 41, 353

∴ So the LCM of the given numbers is 2 x 87 x 41 x 353 = 2518302

Least Common Multiple of 87,82,706 with GCF Formula

Least Common Multiple of 87,82,706 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 87,82,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,82,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,82,706) x common factors =1 x 2 = 2

LCM(87,82,706) = ( 87 × 82 × 706 ) / 2

LCM(87,82,706) = 5036604 / 2

LCM(87,82,706) = 2518302


Lets's calculate GCF of 220,157,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2518302/1

Therefore the LCM of Fractions 87/220,82/157,706/694 is 2518302

Greatest Common Factor of 220,157,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,157,694 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 220,157,694 . The biggest common factor number is the GCF number.
So the greatest common factor 220,157,694 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 87/220, 82/157, 706/694

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 87/220, 82/157, 706/694?

Answer: LCM of Numerators as per given numbers 87/220, 82/157, 706/694 is

LCM of Numerators i.e. for 87,82,706 is 2518302

GCF of denominators i.e. for 220,157,694 is 1.

Thus, LCM of Fractions is 2518302.Finally, LCM of Fractions for 87/220, 82/157, 706/694 is 2518302.