Least Common Multiple of 87/518, 87/726, 821/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/518, 87/726, 821/570 quickly i.e. 71427/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/518, 87/726, 821/570 is 71427/2.

LCM(87/518, 87/726, 821/570) = 71427/2

LCM of 87/518, 87/726, 821/570

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 87/518,87/726,821/570

Given numbers are 87/518,87/726,821/570

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 87,87,821

Least Common Multiple of Numerators i.e. LCM of 87,87,821 is 71427.

GCF of Denominators means GCF of 518,726,570 as per the given fractions.

GCF of 518,726,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,87,821

LCM of Fractions 87/518,87/726,821/570 is 71427/2

3 87, 87, 821
29 29, 29, 821
1, 1, 821

∴ So the LCM of the given numbers is 3 x 29 x 1 x 1 x 821 = 71427

Least Common Multiple of 87,87,821 with GCF Formula

Least Common Multiple of 87,87,821 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 87,87,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,87,821) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(87,87,821) x common factors =1 x 87 = 87

LCM(87,87,821) = ( 87 × 87 × 821 ) / 87

LCM(87,87,821) = 6214149 / 87

LCM(87,87,821) = 71427


Lets's calculate GCF of 518,726,570

2 518, 726, 570
259, 363, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71427/2

Therefore the LCM of Fractions 87/518,87/726,821/570 is 71427/2

Greatest Common Factor of 518,726,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,726,570 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 518,726,570 . The biggest common factor number is the GCF number.
So the greatest common factor 518,726,570 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 87/518, 87/726, 821/570

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 87/518, 87/726, 821/570?

Answer: LCM of Numerators as per given numbers 87/518, 87/726, 821/570 is

LCM of Numerators i.e. for 87,87,821 is 71427

GCF of denominators i.e. for 518,726,570 is 2.

Thus, LCM of Fractions is 71427/2.Finally, LCM of Fractions for 87/518, 87/726, 821/570 is 71427/2.