Least Common Multiple of 87/844, 348/680, 606/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/844, 348/680, 606/524 quickly i.e. 8787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/844, 348/680, 606/524 is 8787.

LCM(87/844, 348/680, 606/524) = 8787

LCM of 87/844, 348/680, 606/524

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 87/844,348/680,606/524

Given numbers are 87/844,348/680,606/524

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 87,348,606

Least Common Multiple of Numerators i.e. LCM of 87,348,606 is 35148.

GCF of Denominators means GCF of 844,680,524 as per the given fractions.

GCF of 844,680,524 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,348,606

LCM of Fractions 87/844,348/680,606/524 is 8787

2 87, 348, 606
3 87, 174, 303
29 29, 58, 101
1, 2, 101

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 2 x 101 = 35148

Least Common Multiple of 87,348,606 with GCF Formula

Least Common Multiple of 87,348,606 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 87,348,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,348,606) = 3

common factors(in case of two or more numbers have common factors) = 174

GCF(87,348,606) x common factors =3 x 174 = 522

LCM(87,348,606) = ( 87 × 348 × 606 ) / 522

LCM(87,348,606) = 18347256 / 522

LCM(87,348,606) = 35148


Lets's calculate GCF of 844,680,524

2 844, 680, 524
2 422, 340, 262
211, 170, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35148/4

Therefore the LCM of Fractions 87/844,348/680,606/524 is 8787

Greatest Common Factor of 844,680,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,680,524 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 844,680,524 . The biggest common factor number is the GCF number.
So the greatest common factor 844,680,524 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 87/844, 348/680, 606/524

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 87/844, 348/680, 606/524?

Answer: LCM of Numerators as per given numbers 87/844, 348/680, 606/524 is

LCM of Numerators i.e. for 87,348,606 is 35148

GCF of denominators i.e. for 844,680,524 is 4.

Thus, LCM of Fractions is 8787.Finally, LCM of Fractions for 87/844, 348/680, 606/524 is 8787.