Least Common Multiple of 36/104, 3648/7466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/104, 3648/7466 quickly i.e. 5472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/104, 3648/7466 is 5472.

LCM(36/104, 3648/7466) = 5472

LCM of 36/104, 3648/7466

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 36/104,3648/7466

Given numbers are 36/104,3648/7466

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 36,3648

Least Common Multiple of Numerators i.e. LCM of 36,3648 is 10944.

GCF of Denominators means GCF of 104,7466 as per the given fractions.

GCF of 104,7466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,3648

LCM of Fractions 36/104,3648/7466 is 5472

2 36, 3648
2 18, 1824
3 9, 912
3, 304

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 304 = 10944

Least Common Multiple of 36,3648 with GCF Formula

Least Common Multiple of 36,3648 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 36,3648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,3648) = 12

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

GCF(36,3648) x common factors =12 x 1 = 12

LCM(36,3648) = ( 36 × 3648 ) / 12

LCM(36,3648) = 131328 / 12

LCM(36,3648) = 10944


Lets's calculate GCF of 104,7466

2 104, 7466
52, 3733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10944/2

Therefore the LCM of Fractions 36/104,3648/7466 is 5472

Greatest Common Factor of 104,7466 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,7466 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1,2,3733,7466

Greatest Common Factor

We found the factors 104,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 104,7466 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 36/104, 3648/7466

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 36/104, 3648/7466?

Answer: LCM of Numerators as per given numbers 36/104, 3648/7466 is

LCM of Numerators i.e. for 36,3648 is 10944

GCF of denominators i.e. for 104,7466 is 2.

Thus, LCM of Fractions is 5472.Finally, LCM of Fractions for 36/104, 3648/7466 is 5472.