Least Common Multiple of 7557/468, 6607/8532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7557/468, 6607/8532 quickly i.e. 49929099/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7557/468, 6607/8532 is 49929099/36.

LCM(7557/468, 6607/8532) = 49929099/36

LCM of 7557/468, 6607/8532

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 7557/468,6607/8532

Given numbers are 7557/468,6607/8532

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 7557,6607

Least Common Multiple of Numerators i.e. LCM of 7557,6607 is 49929099.

GCF of Denominators means GCF of 468,8532 as per the given fractions.

GCF of 468,8532 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7557,6607

LCM of Fractions 7557/468,6607/8532 is 49929099/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 49929099

Least Common Multiple of 7557,6607 with GCF Formula

Least Common Multiple of 7557,6607 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 7557,6607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7557,6607) = 1

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

GCF(7557,6607) x common factors =1 x 1 = 1

LCM(7557,6607) = ( 7557 × 6607 ) / 1

LCM(7557,6607) = 49929099 / 1

LCM(7557,6607) = 49929099


Lets's calculate GCF of 468,8532

2 468, 8532
2 234, 4266
3 117, 2133
3 39, 711
13, 237

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49929099/36

Therefore the LCM of Fractions 7557/468,6607/8532 is 49929099/36

Greatest Common Factor of 468,8532 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,8532 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 8532

List of positive integer factors of 8532 that divides 8532 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532

Greatest Common Factor

We found the factors 468,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8532 is 36.


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 7557/468, 6607/8532

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 7557/468, 6607/8532?

Answer: LCM of Numerators as per given numbers 7557/468, 6607/8532 is

LCM of Numerators i.e. for 7557,6607 is 49929099

GCF of denominators i.e. for 468,8532 is 36.

Thus, LCM of Fractions is 49929099/36.Finally, LCM of Fractions for 7557/468, 6607/8532 is 49929099/36.