Least Common Multiple of 1581/82, 8524/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1581/82, 8524/987 quickly i.e. 13476444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1581/82, 8524/987 is 13476444.

LCM(1581/82, 8524/987) = 13476444

LCM of 1581/82, 8524/987

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 1581/82,8524/987

Given numbers are 1581/82,8524/987

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 1581,8524

Least Common Multiple of Numerators i.e. LCM of 1581,8524 is 13476444.

GCF of Denominators means GCF of 82,987 as per the given fractions.

GCF of 82,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1581,8524

LCM of Fractions 1581/82,8524/987 is 13476444

Given numbers has no common factors except 1. So, there LCM is their product i.e 13476444

Least Common Multiple of 1581,8524 with GCF Formula

Least Common Multiple of 1581,8524 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 1581,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1581,8524) = 1

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

GCF(1581,8524) x common factors =1 x 1 = 1

LCM(1581,8524) = ( 1581 × 8524 ) / 1

LCM(1581,8524) = 13476444 / 1

LCM(1581,8524) = 13476444


Lets's calculate GCF of 82,987

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13476444/1

Therefore the LCM of Fractions 1581/82,8524/987 is 13476444

Greatest Common Factor of 82,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,987 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 82,987 . The biggest common factor number is the GCF number.
So the greatest common factor 82,987 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1581/82, 8524/987

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 1581/82, 8524/987?

Answer: LCM of Numerators as per given numbers 1581/82, 8524/987 is

LCM of Numerators i.e. for 1581,8524 is 13476444

GCF of denominators i.e. for 82,987 is 1.

Thus, LCM of Fractions is 13476444.Finally, LCM of Fractions for 1581/82, 8524/987 is 13476444.