Least Common Multiple of 32/302, 55/393, 902/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/302, 55/393, 902/198 quickly i.e. 72160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/302, 55/393, 902/198 is 72160.

LCM(32/302, 55/393, 902/198) = 72160

LCM of 32/302, 55/393, 902/198

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 32/302,55/393,902/198

Given numbers are 32/302,55/393,902/198

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 32,55,902

Least Common Multiple of Numerators i.e. LCM of 32,55,902 is 72160.

GCF of Denominators means GCF of 302,393,198 as per the given fractions.

GCF of 302,393,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,55,902

LCM of Fractions 32/302,55/393,902/198 is 72160

2 32, 55, 902
11 16, 55, 451
16, 5, 41

∴ So the LCM of the given numbers is 2 x 11 x 16 x 5 x 41 = 72160

Least Common Multiple of 32,55,902 with GCF Formula

Least Common Multiple of 32,55,902 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 32,55,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,55,902) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(32,55,902) x common factors =1 x 22 = 22

LCM(32,55,902) = ( 32 × 55 × 902 ) / 22

LCM(32,55,902) = 1587520 / 22

LCM(32,55,902) = 72160


Lets's calculate GCF of 302,393,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72160/1

Therefore the LCM of Fractions 32/302,55/393,902/198 is 72160

Greatest Common Factor of 302,393,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,393,198 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 302,393,198 . The biggest common factor number is the GCF number.
So the greatest common factor 302,393,198 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 32/302, 55/393, 902/198

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 32/302, 55/393, 902/198?

Answer: LCM of Numerators as per given numbers 32/302, 55/393, 902/198 is

LCM of Numerators i.e. for 32,55,902 is 72160

GCF of denominators i.e. for 302,393,198 is 1.

Thus, LCM of Fractions is 72160.Finally, LCM of Fractions for 32/302, 55/393, 902/198 is 72160.