Least Common Multiple of 332/96, 455/16, 366/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 332/96, 455/16, 366/658 quickly i.e. 13821990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/96, 455/16, 366/658 is 13821990.

LCM(332/96, 455/16, 366/658) = 13821990

LCM of 332/96, 455/16, 366/658

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 332/96,455/16,366/658

Given numbers are 332/96,455/16,366/658

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 332,455,366

Least Common Multiple of Numerators i.e. LCM of 332,455,366 is 27643980.

GCF of Denominators means GCF of 96,16,658 as per the given fractions.

GCF of 96,16,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,455,366

LCM of Fractions 332/96,455/16,366/658 is 13821990

2 332, 455, 366
166, 455, 183

∴ So the LCM of the given numbers is 2 x 166 x 455 x 183 = 27643980

Least Common Multiple of 332,455,366 with GCF Formula

Least Common Multiple of 332,455,366 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 332,455,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,455,366) = 1

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

GCF(332,455,366) x common factors =1 x 2 = 2

LCM(332,455,366) = ( 332 × 455 × 366 ) / 2

LCM(332,455,366) = 55287960 / 2

LCM(332,455,366) = 27643980


Lets's calculate GCF of 96,16,658

2 96, 16, 658
48, 8, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27643980/2

Therefore the LCM of Fractions 332/96,455/16,366/658 is 13821990

Greatest Common Factor of 96,16,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,16,658 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 96,16,658 . The biggest common factor number is the GCF number.
So the greatest common factor 96,16,658 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 332/96, 455/16, 366/658

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 332/96, 455/16, 366/658?

Answer: LCM of Numerators as per given numbers 332/96, 455/16, 366/658 is

LCM of Numerators i.e. for 332,455,366 is 27643980

GCF of denominators i.e. for 96,16,658 is 2.

Thus, LCM of Fractions is 13821990.Finally, LCM of Fractions for 332/96, 455/16, 366/658 is 13821990.