Least Common Multiple of 61/539, 21/455, 206/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/539, 21/455, 206/491 quickly i.e. 263886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/539, 21/455, 206/491 is 263886.

LCM(61/539, 21/455, 206/491) = 263886

LCM of 61/539, 21/455, 206/491

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 61/539,21/455,206/491

Given numbers are 61/539,21/455,206/491

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 61,21,206

Least Common Multiple of Numerators i.e. LCM of 61,21,206 is 263886.

GCF of Denominators means GCF of 539,455,491 as per the given fractions.

GCF of 539,455,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,21,206

LCM of Fractions 61/539,21/455,206/491 is 263886

Given numbers has no common factors except 1. So, there LCM is their product i.e 263886

Least Common Multiple of 61,21,206 with GCF Formula

Least Common Multiple of 61,21,206 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 61,21,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,21,206) = 1

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

GCF(61,21,206) x common factors =1 x 1 = 1

LCM(61,21,206) = ( 61 × 21 × 206 ) / 1

LCM(61,21,206) = 263886 / 1

LCM(61,21,206) = 263886


Lets's calculate GCF of 539,455,491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263886/1

Therefore the LCM of Fractions 61/539,21/455,206/491 is 263886

Greatest Common Factor of 539,455,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,455,491 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 539,455,491 . The biggest common factor number is the GCF number.
So the greatest common factor 539,455,491 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 61/539, 21/455, 206/491

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 61/539, 21/455, 206/491?

Answer: LCM of Numerators as per given numbers 61/539, 21/455, 206/491 is

LCM of Numerators i.e. for 61,21,206 is 263886

GCF of denominators i.e. for 539,455,491 is 1.

Thus, LCM of Fractions is 263886.Finally, LCM of Fractions for 61/539, 21/455, 206/491 is 263886.