Least Common Multiple of 253/665, 648/479, 648/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/665, 648/479, 648/598 quickly i.e. 163944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/665, 648/479, 648/598 is 163944.

LCM(253/665, 648/479, 648/598) = 163944

LCM of 253/665, 648/479, 648/598

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 253/665,648/479,648/598

Given numbers are 253/665,648/479,648/598

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 253,648,648

Least Common Multiple of Numerators i.e. LCM of 253,648,648 is 163944.

GCF of Denominators means GCF of 665,479,598 as per the given fractions.

GCF of 665,479,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,648,648

LCM of Fractions 253/665,648/479,648/598 is 163944

2 253, 648, 648
2 253, 324, 324
2 253, 162, 162
3 253, 81, 81
3 253, 27, 27
3 253, 9, 9
3 253, 3, 3
253, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 3 x 253 x 1 x 1 = 163944

Least Common Multiple of 253,648,648 with GCF Formula

Least Common Multiple of 253,648,648 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 253,648,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,648,648) = 1

common factors(in case of two or more numbers have common factors) = 648

GCF(253,648,648) x common factors =1 x 648 = 648

LCM(253,648,648) = ( 253 × 648 × 648 ) / 648

LCM(253,648,648) = 106235712 / 648

LCM(253,648,648) = 163944


Lets's calculate GCF of 665,479,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163944/1

Therefore the LCM of Fractions 253/665,648/479,648/598 is 163944

Greatest Common Factor of 665,479,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,479,598 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 665,479,598 . The biggest common factor number is the GCF number.
So the greatest common factor 665,479,598 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 253/665, 648/479, 648/598

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 253/665, 648/479, 648/598?

Answer: LCM of Numerators as per given numbers 253/665, 648/479, 648/598 is

LCM of Numerators i.e. for 253,648,648 is 163944

GCF of denominators i.e. for 665,479,598 is 1.

Thus, LCM of Fractions is 163944.Finally, LCM of Fractions for 253/665, 648/479, 648/598 is 163944.