Least Common Multiple of 36/550, 94/296, 186/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/550, 94/296, 186/408 quickly i.e. 26226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/550, 94/296, 186/408 is 26226.

LCM(36/550, 94/296, 186/408) = 26226

LCM of 36/550, 94/296, 186/408

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 36/550,94/296,186/408

Given numbers are 36/550,94/296,186/408

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 36,94,186

Least Common Multiple of Numerators i.e. LCM of 36,94,186 is 52452.

GCF of Denominators means GCF of 550,296,408 as per the given fractions.

GCF of 550,296,408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,94,186

LCM of Fractions 36/550,94/296,186/408 is 26226

2 36, 94, 186
3 18, 47, 93
6, 47, 31

∴ So the LCM of the given numbers is 2 x 3 x 6 x 47 x 31 = 52452

Least Common Multiple of 36,94,186 with GCF Formula

Least Common Multiple of 36,94,186 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 36,94,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,94,186) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(36,94,186) x common factors =2 x 6 = 12

LCM(36,94,186) = ( 36 × 94 × 186 ) / 12

LCM(36,94,186) = 629424 / 12

LCM(36,94,186) = 52452


Lets's calculate GCF of 550,296,408

2 550, 296, 408
275, 148, 204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52452/2

Therefore the LCM of Fractions 36/550,94/296,186/408 is 26226

Greatest Common Factor of 550,296,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,296,408 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 550,296,408 . The biggest common factor number is the GCF number.
So the greatest common factor 550,296,408 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 36/550, 94/296, 186/408

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 36/550, 94/296, 186/408?

Answer: LCM of Numerators as per given numbers 36/550, 94/296, 186/408 is

LCM of Numerators i.e. for 36,94,186 is 52452

GCF of denominators i.e. for 550,296,408 is 2.

Thus, LCM of Fractions is 26226.Finally, LCM of Fractions for 36/550, 94/296, 186/408 is 26226.