Least Common Multiple of 20/39, 48/464, 648/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/39, 48/464, 648/451 quickly i.e. 6480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/39, 48/464, 648/451 is 6480.

LCM(20/39, 48/464, 648/451) = 6480

LCM of 20/39, 48/464, 648/451

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 20/39,48/464,648/451

Given numbers are 20/39,48/464,648/451

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 20,48,648

Least Common Multiple of Numerators i.e. LCM of 20,48,648 is 6480.

GCF of Denominators means GCF of 39,464,451 as per the given fractions.

GCF of 39,464,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,48,648

LCM of Fractions 20/39,48/464,648/451 is 6480

2 20, 48, 648
2 10, 24, 324
2 5, 12, 162
3 5, 6, 81
5, 2, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 2 x 27 = 6480

Least Common Multiple of 20,48,648 with GCF Formula

Least Common Multiple of 20,48,648 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 20,48,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,48,648) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(20,48,648) x common factors =4 x 24 = 96

LCM(20,48,648) = ( 20 × 48 × 648 ) / 96

LCM(20,48,648) = 622080 / 96

LCM(20,48,648) = 6480


Lets's calculate GCF of 39,464,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6480/1

Therefore the LCM of Fractions 20/39,48/464,648/451 is 6480

Greatest Common Factor of 39,464,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,464,451 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 39,464,451 . The biggest common factor number is the GCF number.
So the greatest common factor 39,464,451 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 20/39, 48/464, 648/451

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 20/39, 48/464, 648/451?

Answer: LCM of Numerators as per given numbers 20/39, 48/464, 648/451 is

LCM of Numerators i.e. for 20,48,648 is 6480

GCF of denominators i.e. for 39,464,451 is 1.

Thus, LCM of Fractions is 6480.Finally, LCM of Fractions for 20/39, 48/464, 648/451 is 6480.