Least Common Multiple of 332/40, 149/7338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 332/40, 149/7338 quickly i.e. 24734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/40, 149/7338 is 24734.

LCM(332/40, 149/7338) = 24734

LCM of 332/40, 149/7338

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 332/40,149/7338

Given numbers are 332/40,149/7338

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 332,149

Least Common Multiple of Numerators i.e. LCM of 332,149 is 49468.

GCF of Denominators means GCF of 40,7338 as per the given fractions.

GCF of 40,7338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,149

LCM of Fractions 332/40,149/7338 is 24734

Given numbers has no common factors except 1. So, there LCM is their product i.e 49468

Least Common Multiple of 332,149 with GCF Formula

Least Common Multiple of 332,149 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 332,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,149) = 1

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

GCF(332,149) x common factors =1 x 1 = 1

LCM(332,149) = ( 332 × 149 ) / 1

LCM(332,149) = 49468 / 1

LCM(332,149) = 49468


Lets's calculate GCF of 40,7338

2 40, 7338
20, 3669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49468/2

Therefore the LCM of Fractions 332/40,149/7338 is 24734

Greatest Common Factor of 40,7338 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7338 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1,2,3,6,1223,2446,3669,7338

Greatest Common Factor

We found the factors 40,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7338 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 332/40, 149/7338

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 332/40, 149/7338?

Answer: LCM of Numerators as per given numbers 332/40, 149/7338 is

LCM of Numerators i.e. for 332,149 is 49468

GCF of denominators i.e. for 40,7338 is 2.

Thus, LCM of Fractions is 24734.Finally, LCM of Fractions for 332/40, 149/7338 is 24734.