Least Common Multiple of 3982/374, 9149/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3982/374, 9149/398 quickly i.e. 18215659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3982/374, 9149/398 is 18215659.

LCM(3982/374, 9149/398) = 18215659

LCM of 3982/374, 9149/398

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 3982/374,9149/398

Given numbers are 3982/374,9149/398

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 3982,9149

Least Common Multiple of Numerators i.e. LCM of 3982,9149 is 36431318.

GCF of Denominators means GCF of 374,398 as per the given fractions.

GCF of 374,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3982,9149

LCM of Fractions 3982/374,9149/398 is 18215659

Given numbers has no common factors except 1. So, there LCM is their product i.e 36431318

Least Common Multiple of 3982,9149 with GCF Formula

Least Common Multiple of 3982,9149 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 3982,9149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3982,9149) = 1

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

GCF(3982,9149) x common factors =1 x 1 = 1

LCM(3982,9149) = ( 3982 × 9149 ) / 1

LCM(3982,9149) = 36431318 / 1

LCM(3982,9149) = 36431318


Lets's calculate GCF of 374,398

2 374, 398
187, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36431318/2

Therefore the LCM of Fractions 3982/374,9149/398 is 18215659

Greatest Common Factor of 374,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,398 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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 374,398 . The biggest common factor number is the GCF number.
So the greatest common factor 374,398 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 3982/374, 9149/398

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 3982/374, 9149/398?

Answer: LCM of Numerators as per given numbers 3982/374, 9149/398 is

LCM of Numerators i.e. for 3982,9149 is 36431318

GCF of denominators i.e. for 374,398 is 2.

Thus, LCM of Fractions is 18215659.Finally, LCM of Fractions for 3982/374, 9149/398 is 18215659.