Least Common Multiple of 936/39, 338/3159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 936/39, 338/3159 quickly i.e. 312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/39, 338/3159 is 312.

LCM(936/39, 338/3159) = 312

LCM of 936/39, 338/3159

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 936/39,338/3159

Given numbers are 936/39,338/3159

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 936,338

Least Common Multiple of Numerators i.e. LCM of 936,338 is 12168.

GCF of Denominators means GCF of 39,3159 as per the given fractions.

GCF of 39,3159 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,338

LCM of Fractions 936/39,338/3159 is 312

2 936, 338
13 468, 169
36, 13

∴ So the LCM of the given numbers is 2 x 13 x 36 x 13 = 12168

Least Common Multiple of 936,338 with GCF Formula

Least Common Multiple of 936,338 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 936,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,338) = 26

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

GCF(936,338) x common factors =26 x 1 = 26

LCM(936,338) = ( 936 × 338 ) / 26

LCM(936,338) = 316368 / 26

LCM(936,338) = 12168


Lets's calculate GCF of 39,3159

3 39, 3159
13 13, 1053
1, 81

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12168/39

Therefore the LCM of Fractions 936/39,338/3159 is 312

Greatest Common Factor of 39,3159 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,3159 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 3159

List of positive integer factors of 3159 that divides 3159 without a remainder.

1,3,9,13,27,39,81,117,243,351,1053,3159

Greatest Common Factor

We found the factors 39,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 39,3159 is 39.


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Frequently Asked Questions on Fractional LCM of 936/39, 338/3159

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 936/39, 338/3159?

Answer: LCM of Numerators as per given numbers 936/39, 338/3159 is

LCM of Numerators i.e. for 936,338 is 12168

GCF of denominators i.e. for 39,3159 is 39.

Thus, LCM of Fractions is 312.Finally, LCM of Fractions for 936/39, 338/3159 is 312.