Least Common Multiple of 915/156, 1347/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 915/156, 1347/473 quickly i.e. 410835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 915/156, 1347/473 is 410835.

LCM(915/156, 1347/473) = 410835

LCM of 915/156, 1347/473

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 915/156,1347/473

Given numbers are 915/156,1347/473

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 915,1347

Least Common Multiple of Numerators i.e. LCM of 915,1347 is 410835.

GCF of Denominators means GCF of 156,473 as per the given fractions.

GCF of 156,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 915,1347

LCM of Fractions 915/156,1347/473 is 410835

3 915, 1347
305, 449

∴ So the LCM of the given numbers is 3 x 305 x 449 = 410835

Least Common Multiple of 915,1347 with GCF Formula

Least Common Multiple of 915,1347 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 915,1347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,1347) = 3

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

GCF(915,1347) x common factors =3 x 1 = 3

LCM(915,1347) = ( 915 × 1347 ) / 3

LCM(915,1347) = 1232505 / 3

LCM(915,1347) = 410835


Lets's calculate GCF of 156,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410835/1

Therefore the LCM of Fractions 915/156,1347/473 is 410835

Greatest Common Factor of 156,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,473 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 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 156,473 . The biggest common factor number is the GCF number.
So the greatest common factor 156,473 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 915/156, 1347/473

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 915/156, 1347/473?

Answer: LCM of Numerators as per given numbers 915/156, 1347/473 is

LCM of Numerators i.e. for 915,1347 is 410835

GCF of denominators i.e. for 156,473 is 1.

Thus, LCM of Fractions is 410835.Finally, LCM of Fractions for 915/156, 1347/473 is 410835.