Least Common Multiple of 561/46, 611/44, 494/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/46, 611/44, 494/859 quickly i.e. 13025298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/46, 611/44, 494/859 is 13025298.

LCM(561/46, 611/44, 494/859) = 13025298

LCM of 561/46, 611/44, 494/859

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 561/46,611/44,494/859

Given numbers are 561/46,611/44,494/859

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 561,611,494

Least Common Multiple of Numerators i.e. LCM of 561,611,494 is 13025298.

GCF of Denominators means GCF of 46,44,859 as per the given fractions.

GCF of 46,44,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,611,494

LCM of Fractions 561/46,611/44,494/859 is 13025298

13 561, 611, 494
561, 47, 38

∴ So the LCM of the given numbers is 13 x 561 x 47 x 38 = 13025298

Least Common Multiple of 561,611,494 with GCF Formula

Least Common Multiple of 561,611,494 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 561,611,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,611,494) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(561,611,494) x common factors =1 x 13 = 13

LCM(561,611,494) = ( 561 × 611 × 494 ) / 13

LCM(561,611,494) = 169328874 / 13

LCM(561,611,494) = 13025298


Lets's calculate GCF of 46,44,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13025298/1

Therefore the LCM of Fractions 561/46,611/44,494/859 is 13025298

Greatest Common Factor of 46,44,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,44,859 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 46,44,859 . The biggest common factor number is the GCF number.
So the greatest common factor 46,44,859 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 561/46, 611/44, 494/859

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 561/46, 611/44, 494/859?

Answer: LCM of Numerators as per given numbers 561/46, 611/44, 494/859 is

LCM of Numerators i.e. for 561,611,494 is 13025298

GCF of denominators i.e. for 46,44,859 is 1.

Thus, LCM of Fractions is 13025298.Finally, LCM of Fractions for 561/46, 611/44, 494/859 is 13025298.