Least Common Multiple of 594/61, 220/49, 539/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/61, 220/49, 539/10 quickly i.e. 291060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/61, 220/49, 539/10 is 291060.

LCM(594/61, 220/49, 539/10) = 291060

LCM of 594/61, 220/49, 539/10

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 594/61,220/49,539/10

Given numbers are 594/61,220/49,539/10

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 594,220,539

Least Common Multiple of Numerators i.e. LCM of 594,220,539 is 291060.

GCF of Denominators means GCF of 61,49,10 as per the given fractions.

GCF of 61,49,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,220,539

LCM of Fractions 594/61,220/49,539/10 is 291060

2 594, 220, 539
11 297, 110, 539
27, 10, 49

∴ So the LCM of the given numbers is 2 x 11 x 27 x 10 x 49 = 291060

Least Common Multiple of 594,220,539 with GCF Formula

Least Common Multiple of 594,220,539 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 594,220,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,220,539) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(594,220,539) x common factors =11 x 22 = 242

LCM(594,220,539) = ( 594 × 220 × 539 ) / 242

LCM(594,220,539) = 70436520 / 242

LCM(594,220,539) = 291060


Lets's calculate GCF of 61,49,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291060/1

Therefore the LCM of Fractions 594/61,220/49,539/10 is 291060

Greatest Common Factor of 61,49,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,49,10 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 61,49,10 . The biggest common factor number is the GCF number.
So the greatest common factor 61,49,10 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 594/61, 220/49, 539/10

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 594/61, 220/49, 539/10?

Answer: LCM of Numerators as per given numbers 594/61, 220/49, 539/10 is

LCM of Numerators i.e. for 594,220,539 is 291060

GCF of denominators i.e. for 61,49,10 is 1.

Thus, LCM of Fractions is 291060.Finally, LCM of Fractions for 594/61, 220/49, 539/10 is 291060.