Least Common Multiple of 21/460, 4046/6911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/460, 4046/6911 quickly i.e. 12138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/460, 4046/6911 is 12138.

LCM(21/460, 4046/6911) = 12138

LCM of 21/460, 4046/6911

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 21/460,4046/6911

Given numbers are 21/460,4046/6911

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 21,4046

Least Common Multiple of Numerators i.e. LCM of 21,4046 is 12138.

GCF of Denominators means GCF of 460,6911 as per the given fractions.

GCF of 460,6911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,4046

LCM of Fractions 21/460,4046/6911 is 12138

7 21, 4046
3, 578

∴ So the LCM of the given numbers is 7 x 3 x 578 = 12138

Least Common Multiple of 21,4046 with GCF Formula

Least Common Multiple of 21,4046 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 21,4046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,4046) = 7

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

GCF(21,4046) x common factors =7 x 1 = 7

LCM(21,4046) = ( 21 × 4046 ) / 7

LCM(21,4046) = 84966 / 7

LCM(21,4046) = 12138


Lets's calculate GCF of 460,6911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12138/1

Therefore the LCM of Fractions 21/460,4046/6911 is 12138

Greatest Common Factor of 460,6911 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,6911 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 6911

List of positive integer factors of 6911 that divides 6911 without a remainder.

1,6911

Greatest Common Factor

We found the factors 460,6911 . The biggest common factor number is the GCF number.
So the greatest common factor 460,6911 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 21/460, 4046/6911

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 21/460, 4046/6911?

Answer: LCM of Numerators as per given numbers 21/460, 4046/6911 is

LCM of Numerators i.e. for 21,4046 is 12138

GCF of denominators i.e. for 460,6911 is 1.

Thus, LCM of Fractions is 12138.Finally, LCM of Fractions for 21/460, 4046/6911 is 12138.