Least Common Multiple of 338/65, 688/79, 351/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/65, 688/79, 351/275 quickly i.e. 3139344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/65, 688/79, 351/275 is 3139344.

LCM(338/65, 688/79, 351/275) = 3139344

LCM of 338/65, 688/79, 351/275

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 338/65,688/79,351/275

Given numbers are 338/65,688/79,351/275

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 338,688,351

Least Common Multiple of Numerators i.e. LCM of 338,688,351 is 3139344.

GCF of Denominators means GCF of 65,79,275 as per the given fractions.

GCF of 65,79,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,688,351

LCM of Fractions 338/65,688/79,351/275 is 3139344

2 338, 688, 351
13 169, 344, 351
13, 344, 27

∴ So the LCM of the given numbers is 2 x 13 x 13 x 344 x 27 = 3139344

Least Common Multiple of 338,688,351 with GCF Formula

Least Common Multiple of 338,688,351 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 338,688,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,688,351) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(338,688,351) x common factors =1 x 26 = 26

LCM(338,688,351) = ( 338 × 688 × 351 ) / 26

LCM(338,688,351) = 81622944 / 26

LCM(338,688,351) = 3139344


Lets's calculate GCF of 65,79,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3139344/1

Therefore the LCM of Fractions 338/65,688/79,351/275 is 3139344

Greatest Common Factor of 65,79,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,79,275 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 65,79,275 . The biggest common factor number is the GCF number.
So the greatest common factor 65,79,275 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 338/65, 688/79, 351/275

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 338/65, 688/79, 351/275?

Answer: LCM of Numerators as per given numbers 338/65, 688/79, 351/275 is

LCM of Numerators i.e. for 338,688,351 is 3139344

GCF of denominators i.e. for 65,79,275 is 1.

Thus, LCM of Fractions is 3139344.Finally, LCM of Fractions for 338/65, 688/79, 351/275 is 3139344.