Least Common Multiple of 21/648, 667/301, 998/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/648, 667/301, 998/486 quickly i.e. 13978986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/648, 667/301, 998/486 is 13978986.

LCM(21/648, 667/301, 998/486) = 13978986

LCM of 21/648, 667/301, 998/486

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 21/648,667/301,998/486

Given numbers are 21/648,667/301,998/486

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 21,667,998

Least Common Multiple of Numerators i.e. LCM of 21,667,998 is 13978986.

GCF of Denominators means GCF of 648,301,486 as per the given fractions.

GCF of 648,301,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,667,998

LCM of Fractions 21/648,667/301,998/486 is 13978986

Given numbers has no common factors except 1. So, there LCM is their product i.e 13978986

Least Common Multiple of 21,667,998 with GCF Formula

Least Common Multiple of 21,667,998 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 21,667,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,667,998) = 1

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

GCF(21,667,998) x common factors =1 x 1 = 1

LCM(21,667,998) = ( 21 × 667 × 998 ) / 1

LCM(21,667,998) = 13978986 / 1

LCM(21,667,998) = 13978986


Lets's calculate GCF of 648,301,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13978986/1

Therefore the LCM of Fractions 21/648,667/301,998/486 is 13978986

Greatest Common Factor of 648,301,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,301,486 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 648,301,486 . The biggest common factor number is the GCF number.
So the greatest common factor 648,301,486 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 21/648, 667/301, 998/486

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 21/648, 667/301, 998/486?

Answer: LCM of Numerators as per given numbers 21/648, 667/301, 998/486 is

LCM of Numerators i.e. for 21,667,998 is 13978986

GCF of denominators i.e. for 648,301,486 is 1.

Thus, LCM of Fractions is 13978986.Finally, LCM of Fractions for 21/648, 667/301, 998/486 is 13978986.