Least Common Multiple of 423/65, 846/23, 648/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/65, 846/23, 648/498 quickly i.e. 30456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/65, 846/23, 648/498 is 30456.

LCM(423/65, 846/23, 648/498) = 30456

LCM of 423/65, 846/23, 648/498

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 423/65,846/23,648/498

Given numbers are 423/65,846/23,648/498

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 423,846,648

Least Common Multiple of Numerators i.e. LCM of 423,846,648 is 30456.

GCF of Denominators means GCF of 65,23,498 as per the given fractions.

GCF of 65,23,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,846,648

LCM of Fractions 423/65,846/23,648/498 is 30456

2 423, 846, 648
3 423, 423, 324
3 141, 141, 108
47 47, 47, 36
1, 1, 36

∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 1 x 1 x 36 = 30456

Least Common Multiple of 423,846,648 with GCF Formula

Least Common Multiple of 423,846,648 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 423,846,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,846,648) = 9

common factors(in case of two or more numbers have common factors) = 846

GCF(423,846,648) x common factors =9 x 846 = 7614

LCM(423,846,648) = ( 423 × 846 × 648 ) / 7614

LCM(423,846,648) = 231891984 / 7614

LCM(423,846,648) = 30456


Lets's calculate GCF of 65,23,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30456/1

Therefore the LCM of Fractions 423/65,846/23,648/498 is 30456

Greatest Common Factor of 65,23,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,23,498 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 65,23,498 . The biggest common factor number is the GCF number.
So the greatest common factor 65,23,498 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 423/65, 846/23, 648/498

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 423/65, 846/23, 648/498?

Answer: LCM of Numerators as per given numbers 423/65, 846/23, 648/498 is

LCM of Numerators i.e. for 423,846,648 is 30456

GCF of denominators i.e. for 65,23,498 is 1.

Thus, LCM of Fractions is 30456.Finally, LCM of Fractions for 423/65, 846/23, 648/498 is 30456.