Least Common Multiple of 648/36, 182/3526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/36, 182/3526 quickly i.e. 29484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/36, 182/3526 is 29484.

LCM(648/36, 182/3526) = 29484

LCM of 648/36, 182/3526

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 648/36,182/3526

Given numbers are 648/36,182/3526

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 648,182

Least Common Multiple of Numerators i.e. LCM of 648,182 is 58968.

GCF of Denominators means GCF of 36,3526 as per the given fractions.

GCF of 36,3526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,182

LCM of Fractions 648/36,182/3526 is 29484

2 648, 182
324, 91

∴ So the LCM of the given numbers is 2 x 324 x 91 = 58968

Least Common Multiple of 648,182 with GCF Formula

Least Common Multiple of 648,182 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 648,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,182) = 2

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

GCF(648,182) x common factors =2 x 1 = 2

LCM(648,182) = ( 648 × 182 ) / 2

LCM(648,182) = 117936 / 2

LCM(648,182) = 58968


Lets's calculate GCF of 36,3526

2 36, 3526
18, 1763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58968/2

Therefore the LCM of Fractions 648/36,182/3526 is 29484

Greatest Common Factor of 36,3526 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,3526 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1,2,41,43,82,86,1763,3526

Greatest Common Factor

We found the factors 36,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 36,3526 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 648/36, 182/3526

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 648/36, 182/3526?

Answer: LCM of Numerators as per given numbers 648/36, 182/3526 is

LCM of Numerators i.e. for 648,182 is 58968

GCF of denominators i.e. for 36,3526 is 2.

Thus, LCM of Fractions is 29484.Finally, LCM of Fractions for 648/36, 182/3526 is 29484.