Least Common Multiple of 87/735, 30/875, 418/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/735, 30/875, 418/395 quickly i.e. 36366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/735, 30/875, 418/395 is 36366.

LCM(87/735, 30/875, 418/395) = 36366

LCM of 87/735, 30/875, 418/395

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 87/735,30/875,418/395

Given numbers are 87/735,30/875,418/395

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 87,30,418

Least Common Multiple of Numerators i.e. LCM of 87,30,418 is 181830.

GCF of Denominators means GCF of 735,875,395 as per the given fractions.

GCF of 735,875,395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,30,418

LCM of Fractions 87/735,30/875,418/395 is 36366

2 87, 30, 418
3 87, 15, 209
29, 5, 209

∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 209 = 181830

Least Common Multiple of 87,30,418 with GCF Formula

Least Common Multiple of 87,30,418 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 87,30,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,30,418) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,30,418) x common factors =1 x 6 = 6

LCM(87,30,418) = ( 87 × 30 × 418 ) / 6

LCM(87,30,418) = 1090980 / 6

LCM(87,30,418) = 181830


Lets's calculate GCF of 735,875,395

5 735, 875, 395
147, 175, 79

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181830/5

Therefore the LCM of Fractions 87/735,30/875,418/395 is 36366

Greatest Common Factor of 735,875,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,875,395 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 735,875,395 . The biggest common factor number is the GCF number.
So the greatest common factor 735,875,395 is 5.


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 87/735, 30/875, 418/395

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 87/735, 30/875, 418/395?

Answer: LCM of Numerators as per given numbers 87/735, 30/875, 418/395 is

LCM of Numerators i.e. for 87,30,418 is 181830

GCF of denominators i.e. for 735,875,395 is 5.

Thus, LCM of Fractions is 36366.Finally, LCM of Fractions for 87/735, 30/875, 418/395 is 36366.