Least Common Multiple of 648/58, 846/9624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/58, 846/9624 quickly i.e. 15228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/58, 846/9624 is 15228.

LCM(648/58, 846/9624) = 15228

LCM of 648/58, 846/9624

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 648/58,846/9624

Given numbers are 648/58,846/9624

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 648,846

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

GCF of Denominators means GCF of 58,9624 as per the given fractions.

GCF of 58,9624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,846

LCM of Fractions 648/58,846/9624 is 15228

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

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

Least Common Multiple of 648,846 with GCF Formula

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

GCF(648,846) = 18

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

GCF(648,846) x common factors =18 x 1 = 18

LCM(648,846) = ( 648 × 846 ) / 18

LCM(648,846) = 548208 / 18

LCM(648,846) = 30456


Lets's calculate GCF of 58,9624

2 58, 9624
29, 4812

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30456/2

Therefore the LCM of Fractions 648/58,846/9624 is 15228

Greatest Common Factor of 58,9624 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,9624 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624

Greatest Common Factor

We found the factors 58,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9624 is 2.


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 648/58, 846/9624

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 648/58, 846/9624?

Answer: LCM of Numerators as per given numbers 648/58, 846/9624 is

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

GCF of denominators i.e. for 58,9624 is 2.

Thus, LCM of Fractions is 15228.Finally, LCM of Fractions for 648/58, 846/9624 is 15228.