Least Common Multiple of 924/86, 351/4792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/86, 351/4792 quickly i.e. 54054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/86, 351/4792 is 54054.

LCM(924/86, 351/4792) = 54054

LCM of 924/86, 351/4792

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 924/86,351/4792

Given numbers are 924/86,351/4792

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 924,351

Least Common Multiple of Numerators i.e. LCM of 924,351 is 108108.

GCF of Denominators means GCF of 86,4792 as per the given fractions.

GCF of 86,4792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,351

LCM of Fractions 924/86,351/4792 is 54054

3 924, 351
308, 117

∴ So the LCM of the given numbers is 3 x 308 x 117 = 108108

Least Common Multiple of 924,351 with GCF Formula

Least Common Multiple of 924,351 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 924,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,351) = 3

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

GCF(924,351) x common factors =3 x 1 = 3

LCM(924,351) = ( 924 × 351 ) / 3

LCM(924,351) = 324324 / 3

LCM(924,351) = 108108


Lets's calculate GCF of 86,4792

2 86, 4792
43, 2396

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108108/2

Therefore the LCM of Fractions 924/86,351/4792 is 54054

Greatest Common Factor of 86,4792 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,4792 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1,2,4,8,599,1198,2396,4792

Greatest Common Factor

We found the factors 86,4792 . The biggest common factor number is the GCF number.
So the greatest common factor 86,4792 is 2.


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 924/86, 351/4792

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 924/86, 351/4792?

Answer: LCM of Numerators as per given numbers 924/86, 351/4792 is

LCM of Numerators i.e. for 924,351 is 108108

GCF of denominators i.e. for 86,4792 is 2.

Thus, LCM of Fractions is 54054.Finally, LCM of Fractions for 924/86, 351/4792 is 54054.