Least Common Multiple of 936/684, 9570/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/684, 9570/615 quickly i.e. 497640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/684, 9570/615 is 497640.

LCM(936/684, 9570/615) = 497640

LCM of 936/684, 9570/615

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 936/684,9570/615

Given numbers are 936/684,9570/615

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 936,9570

Least Common Multiple of Numerators i.e. LCM of 936,9570 is 1492920.

GCF of Denominators means GCF of 684,615 as per the given fractions.

GCF of 684,615 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,9570

LCM of Fractions 936/684,9570/615 is 497640

2 936, 9570
3 468, 4785
156, 1595

∴ So the LCM of the given numbers is 2 x 3 x 156 x 1595 = 1492920

Least Common Multiple of 936,9570 with GCF Formula

Least Common Multiple of 936,9570 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 936,9570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,9570) = 6

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

GCF(936,9570) x common factors =6 x 1 = 6

LCM(936,9570) = ( 936 × 9570 ) / 6

LCM(936,9570) = 8957520 / 6

LCM(936,9570) = 1492920


Lets's calculate GCF of 684,615

3 684, 615
228, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1492920/3

Therefore the LCM of Fractions 936/684,9570/615 is 497640

Greatest Common Factor of 684,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,615 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 684,615 . The biggest common factor number is the GCF number.
So the greatest common factor 684,615 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 936/684, 9570/615

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 936/684, 9570/615?

Answer: LCM of Numerators as per given numbers 936/684, 9570/615 is

LCM of Numerators i.e. for 936,9570 is 1492920

GCF of denominators i.e. for 684,615 is 3.

Thus, LCM of Fractions is 497640.Finally, LCM of Fractions for 936/684, 9570/615 is 497640.