Least Common Multiple of 72/409, 18/385, 314/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/409, 18/385, 314/175 quickly i.e. 11304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/409, 18/385, 314/175 is 11304.

LCM(72/409, 18/385, 314/175) = 11304

LCM of 72/409, 18/385, 314/175

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 72/409,18/385,314/175

Given numbers are 72/409,18/385,314/175

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 72,18,314

Least Common Multiple of Numerators i.e. LCM of 72,18,314 is 11304.

GCF of Denominators means GCF of 409,385,175 as per the given fractions.

GCF of 409,385,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,18,314

LCM of Fractions 72/409,18/385,314/175 is 11304

2 72, 18, 314
3 36, 9, 157
3 12, 3, 157
4, 1, 157

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 1 x 157 = 11304

Least Common Multiple of 72,18,314 with GCF Formula

Least Common Multiple of 72,18,314 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 72,18,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,18,314) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(72,18,314) x common factors =2 x 18 = 36

LCM(72,18,314) = ( 72 × 18 × 314 ) / 36

LCM(72,18,314) = 406944 / 36

LCM(72,18,314) = 11304


Lets's calculate GCF of 409,385,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11304/1

Therefore the LCM of Fractions 72/409,18/385,314/175 is 11304

Greatest Common Factor of 409,385,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,385,175 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 409,385,175 . The biggest common factor number is the GCF number.
So the greatest common factor 409,385,175 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 72/409, 18/385, 314/175

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 72/409, 18/385, 314/175?

Answer: LCM of Numerators as per given numbers 72/409, 18/385, 314/175 is

LCM of Numerators i.e. for 72,18,314 is 11304

GCF of denominators i.e. for 409,385,175 is 1.

Thus, LCM of Fractions is 11304.Finally, LCM of Fractions for 72/409, 18/385, 314/175 is 11304.