Least Common Multiple of 7467/536, 5524/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7467/536, 5524/866 quickly i.e. 20623854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7467/536, 5524/866 is 20623854.

LCM(7467/536, 5524/866) = 20623854

LCM of 7467/536, 5524/866

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 7467/536,5524/866

Given numbers are 7467/536,5524/866

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 7467,5524

Least Common Multiple of Numerators i.e. LCM of 7467,5524 is 41247708.

GCF of Denominators means GCF of 536,866 as per the given fractions.

GCF of 536,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7467,5524

LCM of Fractions 7467/536,5524/866 is 20623854

Given numbers has no common factors except 1. So, there LCM is their product i.e 41247708

Least Common Multiple of 7467,5524 with GCF Formula

Least Common Multiple of 7467,5524 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 7467,5524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7467,5524) = 1

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

GCF(7467,5524) x common factors =1 x 1 = 1

LCM(7467,5524) = ( 7467 × 5524 ) / 1

LCM(7467,5524) = 41247708 / 1

LCM(7467,5524) = 41247708


Lets's calculate GCF of 536,866

2 536, 866
268, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41247708/2

Therefore the LCM of Fractions 7467/536,5524/866 is 20623854

Greatest Common Factor of 536,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,866 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 536,866 . The biggest common factor number is the GCF number.
So the greatest common factor 536,866 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7467/536, 5524/866

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 7467/536, 5524/866?

Answer: LCM of Numerators as per given numbers 7467/536, 5524/866 is

LCM of Numerators i.e. for 7467,5524 is 41247708

GCF of denominators i.e. for 536,866 is 2.

Thus, LCM of Fractions is 20623854.Finally, LCM of Fractions for 7467/536, 5524/866 is 20623854.