Least Common Multiple of 522/156, 915/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/156, 915/898 quickly i.e. 79605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/156, 915/898 is 79605.

LCM(522/156, 915/898) = 79605

LCM of 522/156, 915/898

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 522/156,915/898

Given numbers are 522/156,915/898

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 522,915

Least Common Multiple of Numerators i.e. LCM of 522,915 is 159210.

GCF of Denominators means GCF of 156,898 as per the given fractions.

GCF of 156,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,915

LCM of Fractions 522/156,915/898 is 79605

3 522, 915
174, 305

∴ So the LCM of the given numbers is 3 x 174 x 305 = 159210

Least Common Multiple of 522,915 with GCF Formula

Least Common Multiple of 522,915 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 522,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,915) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(522,915) x common factors =3 x 1 = 3

LCM(522,915) = ( 522 × 915 ) / 3

LCM(522,915) = 477630 / 3

LCM(522,915) = 159210


Lets's calculate GCF of 156,898

2 156, 898
78, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159210/2

Therefore the LCM of Fractions 522/156,915/898 is 79605

Greatest Common Factor of 156,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,898 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 156,898 . The biggest common factor number is the GCF number.
So the greatest common factor 156,898 is 2.


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 522/156, 915/898

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 522/156, 915/898?

Answer: LCM of Numerators as per given numbers 522/156, 915/898 is

LCM of Numerators i.e. for 522,915 is 159210

GCF of denominators i.e. for 156,898 is 2.

Thus, LCM of Fractions is 79605.Finally, LCM of Fractions for 522/156, 915/898 is 79605.