Least Common Multiple of 67/38, 288/72, 302/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/38, 288/72, 302/207 quickly i.e. 2913696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/38, 288/72, 302/207 is 2913696.

LCM(67/38, 288/72, 302/207) = 2913696

LCM of 67/38, 288/72, 302/207

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 67/38,288/72,302/207

Given numbers are 67/38,288/72,302/207

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 67,288,302

Least Common Multiple of Numerators i.e. LCM of 67,288,302 is 2913696.

GCF of Denominators means GCF of 38,72,207 as per the given fractions.

GCF of 38,72,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,288,302

LCM of Fractions 67/38,288/72,302/207 is 2913696

2 67, 288, 302
67, 144, 151

∴ So the LCM of the given numbers is 2 x 67 x 144 x 151 = 2913696

Least Common Multiple of 67,288,302 with GCF Formula

Least Common Multiple of 67,288,302 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 67,288,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,288,302) = 1

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

GCF(67,288,302) x common factors =1 x 2 = 2

LCM(67,288,302) = ( 67 × 288 × 302 ) / 2

LCM(67,288,302) = 5827392 / 2

LCM(67,288,302) = 2913696


Lets's calculate GCF of 38,72,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2913696/1

Therefore the LCM of Fractions 67/38,288/72,302/207 is 2913696

Greatest Common Factor of 38,72,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,72,207 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 38,72,207 . The biggest common factor number is the GCF number.
So the greatest common factor 38,72,207 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 67/38, 288/72, 302/207

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 67/38, 288/72, 302/207?

Answer: LCM of Numerators as per given numbers 67/38, 288/72, 302/207 is

LCM of Numerators i.e. for 67,288,302 is 2913696

GCF of denominators i.e. for 38,72,207 is 1.

Thus, LCM of Fractions is 2913696.Finally, LCM of Fractions for 67/38, 288/72, 302/207 is 2913696.