Least Common Multiple of 648/18, 3008/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/18, 3008/766 quickly i.e. 121824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/18, 3008/766 is 121824.

LCM(648/18, 3008/766) = 121824

LCM of 648/18, 3008/766

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 648/18,3008/766

Given numbers are 648/18,3008/766

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 648,3008

Least Common Multiple of Numerators i.e. LCM of 648,3008 is 243648.

GCF of Denominators means GCF of 18,766 as per the given fractions.

GCF of 18,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,3008

LCM of Fractions 648/18,3008/766 is 121824

2 648, 3008
2 324, 1504
2 162, 752
81, 376

∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 376 = 243648

Least Common Multiple of 648,3008 with GCF Formula

Least Common Multiple of 648,3008 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 648,3008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,3008) = 8

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

GCF(648,3008) x common factors =8 x 1 = 8

LCM(648,3008) = ( 648 × 3008 ) / 8

LCM(648,3008) = 1949184 / 8

LCM(648,3008) = 243648


Lets's calculate GCF of 18,766

2 18, 766
9, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243648/2

Therefore the LCM of Fractions 648/18,3008/766 is 121824

Greatest Common Factor of 18,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,766 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 18,766 . The biggest common factor number is the GCF number.
So the greatest common factor 18,766 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 648/18, 3008/766

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 648/18, 3008/766?

Answer: LCM of Numerators as per given numbers 648/18, 3008/766 is

LCM of Numerators i.e. for 648,3008 is 243648

GCF of denominators i.e. for 18,766 is 2.

Thus, LCM of Fractions is 121824.Finally, LCM of Fractions for 648/18, 3008/766 is 121824.