Least Common Multiple of 936/138, 5834/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/138, 5834/504 quickly i.e. 455052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/138, 5834/504 is 455052.

LCM(936/138, 5834/504) = 455052

LCM of 936/138, 5834/504

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 936/138,5834/504

Given numbers are 936/138,5834/504

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 936,5834

Least Common Multiple of Numerators i.e. LCM of 936,5834 is 2730312.

GCF of Denominators means GCF of 138,504 as per the given fractions.

GCF of 138,504 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,5834

LCM of Fractions 936/138,5834/504 is 455052

2 936, 5834
468, 2917

∴ So the LCM of the given numbers is 2 x 468 x 2917 = 2730312

Least Common Multiple of 936,5834 with GCF Formula

Least Common Multiple of 936,5834 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 936,5834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,5834) = 2

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

GCF(936,5834) x common factors =2 x 1 = 2

LCM(936,5834) = ( 936 × 5834 ) / 2

LCM(936,5834) = 5460624 / 2

LCM(936,5834) = 2730312


Lets's calculate GCF of 138,504

2 138, 504
3 69, 252
23, 84

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730312/6

Therefore the LCM of Fractions 936/138,5834/504 is 455052

Greatest Common Factor of 138,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,504 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 138,504 . The biggest common factor number is the GCF number.
So the greatest common factor 138,504 is 6.


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 936/138, 5834/504

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 936/138, 5834/504?

Answer: LCM of Numerators as per given numbers 936/138, 5834/504 is

LCM of Numerators i.e. for 936,5834 is 2730312

GCF of denominators i.e. for 138,504 is 6.

Thus, LCM of Fractions is 455052.Finally, LCM of Fractions for 936/138, 5834/504 is 455052.