Least Common Multiple of 36/374, 94/183, 406/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/374, 94/183, 406/238 quickly i.e. 343476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/374, 94/183, 406/238 is 343476.

LCM(36/374, 94/183, 406/238) = 343476

LCM of 36/374, 94/183, 406/238

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 36/374,94/183,406/238

Given numbers are 36/374,94/183,406/238

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 36,94,406

Least Common Multiple of Numerators i.e. LCM of 36,94,406 is 343476.

GCF of Denominators means GCF of 374,183,238 as per the given fractions.

GCF of 374,183,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,94,406

LCM of Fractions 36/374,94/183,406/238 is 343476

2 36, 94, 406
18, 47, 203

∴ So the LCM of the given numbers is 2 x 18 x 47 x 203 = 343476

Least Common Multiple of 36,94,406 with GCF Formula

Least Common Multiple of 36,94,406 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 36,94,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,94,406) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(36,94,406) x common factors =2 x 2 = 4

LCM(36,94,406) = ( 36 × 94 × 406 ) / 4

LCM(36,94,406) = 1373904 / 4

LCM(36,94,406) = 343476


Lets's calculate GCF of 374,183,238

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343476/1

Therefore the LCM of Fractions 36/374,94/183,406/238 is 343476

Greatest Common Factor of 374,183,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,183,238 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 374,183,238 . The biggest common factor number is the GCF number.
So the greatest common factor 374,183,238 is 1.


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 36/374, 94/183, 406/238

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 36/374, 94/183, 406/238?

Answer: LCM of Numerators as per given numbers 36/374, 94/183, 406/238 is

LCM of Numerators i.e. for 36,94,406 is 343476

GCF of denominators i.e. for 374,183,238 is 1.

Thus, LCM of Fractions is 343476.Finally, LCM of Fractions for 36/374, 94/183, 406/238 is 343476.