Least Common Multiple of 87/659, 35/538, 282/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/659, 35/538, 282/829 quickly i.e. 286230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/659, 35/538, 282/829 is 286230.

LCM(87/659, 35/538, 282/829) = 286230

LCM of 87/659, 35/538, 282/829

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 87/659,35/538,282/829

Given numbers are 87/659,35/538,282/829

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 87,35,282

Least Common Multiple of Numerators i.e. LCM of 87,35,282 is 286230.

GCF of Denominators means GCF of 659,538,829 as per the given fractions.

GCF of 659,538,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,35,282

LCM of Fractions 87/659,35/538,282/829 is 286230

3 87, 35, 282
29, 35, 94

∴ So the LCM of the given numbers is 3 x 29 x 35 x 94 = 286230

Least Common Multiple of 87,35,282 with GCF Formula

Least Common Multiple of 87,35,282 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 87,35,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,35,282) = 1

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

GCF(87,35,282) x common factors =1 x 3 = 3

LCM(87,35,282) = ( 87 × 35 × 282 ) / 3

LCM(87,35,282) = 858690 / 3

LCM(87,35,282) = 286230


Lets's calculate GCF of 659,538,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286230/1

Therefore the LCM of Fractions 87/659,35/538,282/829 is 286230

Greatest Common Factor of 659,538,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,538,829 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 659,538,829 . The biggest common factor number is the GCF number.
So the greatest common factor 659,538,829 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 87/659, 35/538, 282/829

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 87/659, 35/538, 282/829?

Answer: LCM of Numerators as per given numbers 87/659, 35/538, 282/829 is

LCM of Numerators i.e. for 87,35,282 is 286230

GCF of denominators i.e. for 659,538,829 is 1.

Thus, LCM of Fractions is 286230.Finally, LCM of Fractions for 87/659, 35/538, 282/829 is 286230.