Least Common Multiple of 924/518, 7428/2835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/518, 7428/2835 quickly i.e. 81708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/518, 7428/2835 is 81708.

LCM(924/518, 7428/2835) = 81708

LCM of 924/518, 7428/2835

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 924/518,7428/2835

Given numbers are 924/518,7428/2835

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 924,7428

Least Common Multiple of Numerators i.e. LCM of 924,7428 is 571956.

GCF of Denominators means GCF of 518,2835 as per the given fractions.

GCF of 518,2835 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,7428

LCM of Fractions 924/518,7428/2835 is 81708

2 924, 7428
2 462, 3714
3 231, 1857
77, 619

∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 619 = 571956

Least Common Multiple of 924,7428 with GCF Formula

Least Common Multiple of 924,7428 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 924,7428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,7428) = 12

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

GCF(924,7428) x common factors =12 x 1 = 12

LCM(924,7428) = ( 924 × 7428 ) / 12

LCM(924,7428) = 6863472 / 12

LCM(924,7428) = 571956


Lets's calculate GCF of 518,2835

7 518, 2835
74, 405

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 571956/7

Therefore the LCM of Fractions 924/518,7428/2835 is 81708

Greatest Common Factor of 518,2835 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,2835 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Greatest Common Factor

We found the factors 518,2835 . The biggest common factor number is the GCF number.
So the greatest common factor 518,2835 is 7.


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 924/518, 7428/2835

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 924/518, 7428/2835?

Answer: LCM of Numerators as per given numbers 924/518, 7428/2835 is

LCM of Numerators i.e. for 924,7428 is 571956

GCF of denominators i.e. for 518,2835 is 7.

Thus, LCM of Fractions is 81708.Finally, LCM of Fractions for 924/518, 7428/2835 is 81708.