Least Common Multiple of 18/353, 96/602, 268/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/353, 96/602, 268/136 quickly i.e. 19296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/353, 96/602, 268/136 is 19296.

LCM(18/353, 96/602, 268/136) = 19296

LCM of 18/353, 96/602, 268/136

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 18/353,96/602,268/136

Given numbers are 18/353,96/602,268/136

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 18,96,268

Least Common Multiple of Numerators i.e. LCM of 18,96,268 is 19296.

GCF of Denominators means GCF of 353,602,136 as per the given fractions.

GCF of 353,602,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,96,268

LCM of Fractions 18/353,96/602,268/136 is 19296

2 18, 96, 268
2 9, 48, 134
3 9, 24, 67
3, 8, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 67 = 19296

Least Common Multiple of 18,96,268 with GCF Formula

Least Common Multiple of 18,96,268 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 18,96,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,96,268) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(18,96,268) x common factors =2 x 12 = 24

LCM(18,96,268) = ( 18 × 96 × 268 ) / 24

LCM(18,96,268) = 463104 / 24

LCM(18,96,268) = 19296


Lets's calculate GCF of 353,602,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19296/1

Therefore the LCM of Fractions 18/353,96/602,268/136 is 19296

Greatest Common Factor of 353,602,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,602,136 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 353,602,136 . The biggest common factor number is the GCF number.
So the greatest common factor 353,602,136 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 18/353, 96/602, 268/136

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 18/353, 96/602, 268/136?

Answer: LCM of Numerators as per given numbers 18/353, 96/602, 268/136 is

LCM of Numerators i.e. for 18,96,268 is 19296

GCF of denominators i.e. for 353,602,136 is 1.

Thus, LCM of Fractions is 19296.Finally, LCM of Fractions for 18/353, 96/602, 268/136 is 19296.