Least Common Multiple of 87/57, 539/41, 533/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/57, 539/41, 533/490 quickly i.e. 24993969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/57, 539/41, 533/490 is 24993969.

LCM(87/57, 539/41, 533/490) = 24993969

LCM of 87/57, 539/41, 533/490

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 87/57,539/41,533/490

Given numbers are 87/57,539/41,533/490

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 87,539,533

Least Common Multiple of Numerators i.e. LCM of 87,539,533 is 24993969.

GCF of Denominators means GCF of 57,41,490 as per the given fractions.

GCF of 57,41,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,539,533

LCM of Fractions 87/57,539/41,533/490 is 24993969

Given numbers has no common factors except 1. So, there LCM is their product i.e 24993969

Least Common Multiple of 87,539,533 with GCF Formula

Least Common Multiple of 87,539,533 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 87,539,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,539,533) = 1

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

GCF(87,539,533) x common factors =1 x 1 = 1

LCM(87,539,533) = ( 87 × 539 × 533 ) / 1

LCM(87,539,533) = 24993969 / 1

LCM(87,539,533) = 24993969


Lets's calculate GCF of 57,41,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24993969/1

Therefore the LCM of Fractions 87/57,539/41,533/490 is 24993969

Greatest Common Factor of 57,41,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,41,490 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 57,41,490 . The biggest common factor number is the GCF number.
So the greatest common factor 57,41,490 is 1.


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 87/57, 539/41, 533/490

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 87/57, 539/41, 533/490?

Answer: LCM of Numerators as per given numbers 87/57, 539/41, 533/490 is

LCM of Numerators i.e. for 87,539,533 is 24993969

GCF of denominators i.e. for 57,41,490 is 1.

Thus, LCM of Fractions is 24993969.Finally, LCM of Fractions for 87/57, 539/41, 533/490 is 24993969.