Least Common Multiple of 523/996, 9462/7652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/996, 9462/7652 quickly i.e. 4948626/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/996, 9462/7652 is 4948626/4.

LCM(523/996, 9462/7652) = 4948626/4

LCM of 523/996, 9462/7652

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 523/996,9462/7652

Given numbers are 523/996,9462/7652

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 523,9462

Least Common Multiple of Numerators i.e. LCM of 523,9462 is 4948626.

GCF of Denominators means GCF of 996,7652 as per the given fractions.

GCF of 996,7652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,9462

LCM of Fractions 523/996,9462/7652 is 4948626/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4948626

Least Common Multiple of 523,9462 with GCF Formula

Least Common Multiple of 523,9462 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 523,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,9462) = 1

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

GCF(523,9462) x common factors =1 x 1 = 1

LCM(523,9462) = ( 523 × 9462 ) / 1

LCM(523,9462) = 4948626 / 1

LCM(523,9462) = 4948626


Lets's calculate GCF of 996,7652

2 996, 7652
2 498, 3826
249, 1913

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4948626/4

Therefore the LCM of Fractions 523/996,9462/7652 is 4948626/4

Greatest Common Factor of 996,7652 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,7652 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 7652

List of positive integer factors of 7652 that divides 7652 without a remainder.

1,2,4,1913,3826,7652

Greatest Common Factor

We found the factors 996,7652 . The biggest common factor number is the GCF number.
So the greatest common factor 996,7652 is 4.


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 523/996, 9462/7652

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 523/996, 9462/7652?

Answer: LCM of Numerators as per given numbers 523/996, 9462/7652 is

LCM of Numerators i.e. for 523,9462 is 4948626

GCF of denominators i.e. for 996,7652 is 4.

Thus, LCM of Fractions is 4948626/4.Finally, LCM of Fractions for 523/996, 9462/7652 is 4948626/4.