Least Common Multiple of 5288/132, 4611/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5288/132, 4611/585 quickly i.e. 8127656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5288/132, 4611/585 is 8127656.

LCM(5288/132, 4611/585) = 8127656

LCM of 5288/132, 4611/585

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 5288/132,4611/585

Given numbers are 5288/132,4611/585

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 5288,4611

Least Common Multiple of Numerators i.e. LCM of 5288,4611 is 24382968.

GCF of Denominators means GCF of 132,585 as per the given fractions.

GCF of 132,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5288,4611

LCM of Fractions 5288/132,4611/585 is 8127656

Given numbers has no common factors except 1. So, there LCM is their product i.e 24382968

Least Common Multiple of 5288,4611 with GCF Formula

Least Common Multiple of 5288,4611 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 5288,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5288,4611) = 1

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

GCF(5288,4611) x common factors =1 x 1 = 1

LCM(5288,4611) = ( 5288 × 4611 ) / 1

LCM(5288,4611) = 24382968 / 1

LCM(5288,4611) = 24382968


Lets's calculate GCF of 132,585

3 132, 585
44, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24382968/3

Therefore the LCM of Fractions 5288/132,4611/585 is 8127656

Greatest Common Factor of 132,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,585 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 132,585 . The biggest common factor number is the GCF number.
So the greatest common factor 132,585 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5288/132, 4611/585

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 5288/132, 4611/585?

Answer: LCM of Numerators as per given numbers 5288/132, 4611/585 is

LCM of Numerators i.e. for 5288,4611 is 24382968

GCF of denominators i.e. for 132,585 is 3.

Thus, LCM of Fractions is 8127656.Finally, LCM of Fractions for 5288/132, 4611/585 is 8127656.