Least Common Multiple of 4968/159, 5949/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4968/159, 5949/792 quickly i.e. 1094616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4968/159, 5949/792 is 1094616.

LCM(4968/159, 5949/792) = 1094616

LCM of 4968/159, 5949/792

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 4968/159,5949/792

Given numbers are 4968/159,5949/792

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 4968,5949

Least Common Multiple of Numerators i.e. LCM of 4968,5949 is 3283848.

GCF of Denominators means GCF of 159,792 as per the given fractions.

GCF of 159,792 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4968,5949

LCM of Fractions 4968/159,5949/792 is 1094616

3 4968, 5949
3 1656, 1983
552, 661

∴ So the LCM of the given numbers is 3 x 3 x 552 x 661 = 3283848

Least Common Multiple of 4968,5949 with GCF Formula

Least Common Multiple of 4968,5949 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 4968,5949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4968,5949) = 9

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

GCF(4968,5949) x common factors =9 x 1 = 9

LCM(4968,5949) = ( 4968 × 5949 ) / 9

LCM(4968,5949) = 29554632 / 9

LCM(4968,5949) = 3283848


Lets's calculate GCF of 159,792

3 159, 792
53, 264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3283848/3

Therefore the LCM of Fractions 4968/159,5949/792 is 1094616

Greatest Common Factor of 159,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,792 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 159,792 . The biggest common factor number is the GCF number.
So the greatest common factor 159,792 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 4968/159, 5949/792

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 4968/159, 5949/792?

Answer: LCM of Numerators as per given numbers 4968/159, 5949/792 is

LCM of Numerators i.e. for 4968,5949 is 3283848

GCF of denominators i.e. for 159,792 is 3.

Thus, LCM of Fractions is 1094616.Finally, LCM of Fractions for 4968/159, 5949/792 is 1094616.