Least Common Multiple of 87/901, 88/710, 418/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/901, 88/710, 418/336 quickly i.e. 145464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/901, 88/710, 418/336 is 145464.

LCM(87/901, 88/710, 418/336) = 145464

LCM of 87/901, 88/710, 418/336

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 87/901,88/710,418/336

Given numbers are 87/901,88/710,418/336

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 87,88,418

Least Common Multiple of Numerators i.e. LCM of 87,88,418 is 145464.

GCF of Denominators means GCF of 901,710,336 as per the given fractions.

GCF of 901,710,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,88,418

LCM of Fractions 87/901,88/710,418/336 is 145464

2 87, 88, 418
11 87, 44, 209
87, 4, 19

∴ So the LCM of the given numbers is 2 x 11 x 87 x 4 x 19 = 145464

Least Common Multiple of 87,88,418 with GCF Formula

Least Common Multiple of 87,88,418 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 87,88,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,88,418) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(87,88,418) x common factors =1 x 22 = 22

LCM(87,88,418) = ( 87 × 88 × 418 ) / 22

LCM(87,88,418) = 3200208 / 22

LCM(87,88,418) = 145464


Lets's calculate GCF of 901,710,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145464/1

Therefore the LCM of Fractions 87/901,88/710,418/336 is 145464

Greatest Common Factor of 901,710,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,710,336 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 901,710,336 . The biggest common factor number is the GCF number.
So the greatest common factor 901,710,336 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 87/901, 88/710, 418/336

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 87/901, 88/710, 418/336?

Answer: LCM of Numerators as per given numbers 87/901, 88/710, 418/336 is

LCM of Numerators i.e. for 87,88,418 is 145464

GCF of denominators i.e. for 901,710,336 is 1.

Thus, LCM of Fractions is 145464.Finally, LCM of Fractions for 87/901, 88/710, 418/336 is 145464.