Least Common Multiple of 15/252, 94/303, 724/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/252, 94/303, 724/156 quickly i.e. 170140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/252, 94/303, 724/156 is 170140.

LCM(15/252, 94/303, 724/156) = 170140

LCM of 15/252, 94/303, 724/156

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 15/252,94/303,724/156

Given numbers are 15/252,94/303,724/156

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 15,94,724

Least Common Multiple of Numerators i.e. LCM of 15,94,724 is 510420.

GCF of Denominators means GCF of 252,303,156 as per the given fractions.

GCF of 252,303,156 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,94,724

LCM of Fractions 15/252,94/303,724/156 is 170140

2 15, 94, 724
15, 47, 362

∴ So the LCM of the given numbers is 2 x 15 x 47 x 362 = 510420

Least Common Multiple of 15,94,724 with GCF Formula

Least Common Multiple of 15,94,724 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 15,94,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,94,724) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(15,94,724) x common factors =1 x 2 = 2

LCM(15,94,724) = ( 15 × 94 × 724 ) / 2

LCM(15,94,724) = 1020840 / 2

LCM(15,94,724) = 510420


Lets's calculate GCF of 252,303,156

3 252, 303, 156
84, 101, 52

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510420/3

Therefore the LCM of Fractions 15/252,94/303,724/156 is 170140

Greatest Common Factor of 252,303,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,303,156 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

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

Greatest Common Factor

We found the factors 252,303,156 . The biggest common factor number is the GCF number.
So the greatest common factor 252,303,156 is 3.


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 15/252, 94/303, 724/156

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 15/252, 94/303, 724/156?

Answer: LCM of Numerators as per given numbers 15/252, 94/303, 724/156 is

LCM of Numerators i.e. for 15,94,724 is 510420

GCF of denominators i.e. for 252,303,156 is 3.

Thus, LCM of Fractions is 170140.Finally, LCM of Fractions for 15/252, 94/303, 724/156 is 170140.