Least Common Multiple of 3636/74, 4661/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3636/74, 4661/268 quickly i.e. 8473698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3636/74, 4661/268 is 8473698.

LCM(3636/74, 4661/268) = 8473698

LCM of 3636/74, 4661/268

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 3636/74,4661/268

Given numbers are 3636/74,4661/268

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 3636,4661

Least Common Multiple of Numerators i.e. LCM of 3636,4661 is 16947396.

GCF of Denominators means GCF of 74,268 as per the given fractions.

GCF of 74,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3636,4661

LCM of Fractions 3636/74,4661/268 is 8473698

Given numbers has no common factors except 1. So, there LCM is their product i.e 16947396

Least Common Multiple of 3636,4661 with GCF Formula

Least Common Multiple of 3636,4661 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 3636,4661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3636,4661) = 1

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

GCF(3636,4661) x common factors =1 x 1 = 1

LCM(3636,4661) = ( 3636 × 4661 ) / 1

LCM(3636,4661) = 16947396 / 1

LCM(3636,4661) = 16947396


Lets's calculate GCF of 74,268

2 74, 268
37, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16947396/2

Therefore the LCM of Fractions 3636/74,4661/268 is 8473698

Greatest Common Factor of 74,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,268 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 74,268 . The biggest common factor number is the GCF number.
So the greatest common factor 74,268 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 3636/74, 4661/268

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 3636/74, 4661/268?

Answer: LCM of Numerators as per given numbers 3636/74, 4661/268 is

LCM of Numerators i.e. for 3636,4661 is 16947396

GCF of denominators i.e. for 74,268 is 2.

Thus, LCM of Fractions is 8473698.Finally, LCM of Fractions for 3636/74, 4661/268 is 8473698.