Least Common Multiple of 8/212, 31/635, 52/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/212, 31/635, 52/315 quickly i.e. 3224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/212, 31/635, 52/315 is 3224.

LCM(8/212, 31/635, 52/315) = 3224

LCM of 8/212, 31/635, 52/315

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 8/212,31/635,52/315

Given numbers are 8/212,31/635,52/315

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 8,31,52

Least Common Multiple of Numerators i.e. LCM of 8,31,52 is 3224.

GCF of Denominators means GCF of 212,635,315 as per the given fractions.

GCF of 212,635,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,31,52

LCM of Fractions 8/212,31/635,52/315 is 3224

2 8, 31, 52
2 4, 31, 26
2, 31, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 13 = 3224

Least Common Multiple of 8,31,52 with GCF Formula

Least Common Multiple of 8,31,52 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 8,31,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,31,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,31,52) x common factors =1 x 4 = 4

LCM(8,31,52) = ( 8 × 31 × 52 ) / 4

LCM(8,31,52) = 12896 / 4

LCM(8,31,52) = 3224


Lets's calculate GCF of 212,635,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3224/1

Therefore the LCM of Fractions 8/212,31/635,52/315 is 3224

Greatest Common Factor of 212,635,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,635,315 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 212,635,315 . The biggest common factor number is the GCF number.
So the greatest common factor 212,635,315 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 8/212, 31/635, 52/315

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 8/212, 31/635, 52/315?

Answer: LCM of Numerators as per given numbers 8/212, 31/635, 52/315 is

LCM of Numerators i.e. for 8,31,52 is 3224

GCF of denominators i.e. for 212,635,315 is 1.

Thus, LCM of Fractions is 3224.Finally, LCM of Fractions for 8/212, 31/635, 52/315 is 3224.