Least Common Multiple of 460/27, 891/6242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/27, 891/6242 quickly i.e. 409860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/27, 891/6242 is 409860.

LCM(460/27, 891/6242) = 409860

LCM of 460/27, 891/6242

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 460/27,891/6242

Given numbers are 460/27,891/6242

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 460,891

Least Common Multiple of Numerators i.e. LCM of 460,891 is 409860.

GCF of Denominators means GCF of 27,6242 as per the given fractions.

GCF of 27,6242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,891

LCM of Fractions 460/27,891/6242 is 409860

Given numbers has no common factors except 1. So, there LCM is their product i.e 409860

Least Common Multiple of 460,891 with GCF Formula

Least Common Multiple of 460,891 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 460,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,891) = 1

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

GCF(460,891) x common factors =1 x 1 = 1

LCM(460,891) = ( 460 × 891 ) / 1

LCM(460,891) = 409860 / 1

LCM(460,891) = 409860


Lets's calculate GCF of 27,6242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409860/1

Therefore the LCM of Fractions 460/27,891/6242 is 409860

Greatest Common Factor of 27,6242 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,6242 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 6242

List of positive integer factors of 6242 that divides 6242 without a remainder.

1,2,3121,6242

Greatest Common Factor

We found the factors 27,6242 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6242 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 460/27, 891/6242

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 460/27, 891/6242?

Answer: LCM of Numerators as per given numbers 460/27, 891/6242 is

LCM of Numerators i.e. for 460,891 is 409860

GCF of denominators i.e. for 27,6242 is 1.

Thus, LCM of Fractions is 409860.Finally, LCM of Fractions for 460/27, 891/6242 is 409860.