Least Common Multiple of 64/335, 17/361, 341/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/335, 17/361, 341/213 quickly i.e. 371008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/335, 17/361, 341/213 is 371008.

LCM(64/335, 17/361, 341/213) = 371008

LCM of 64/335, 17/361, 341/213

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 64/335,17/361,341/213

Given numbers are 64/335,17/361,341/213

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 64,17,341

Least Common Multiple of Numerators i.e. LCM of 64,17,341 is 371008.

GCF of Denominators means GCF of 335,361,213 as per the given fractions.

GCF of 335,361,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,17,341

LCM of Fractions 64/335,17/361,341/213 is 371008

Given numbers has no common factors except 1. So, there LCM is their product i.e 371008

Least Common Multiple of 64,17,341 with GCF Formula

Least Common Multiple of 64,17,341 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 64,17,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,17,341) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(64,17,341) x common factors =1 x 1 = 1

LCM(64,17,341) = ( 64 × 17 × 341 ) / 1

LCM(64,17,341) = 371008 / 1

LCM(64,17,341) = 371008


Lets's calculate GCF of 335,361,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371008/1

Therefore the LCM of Fractions 64/335,17/361,341/213 is 371008

Greatest Common Factor of 335,361,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,361,213 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 335,361,213 . The biggest common factor number is the GCF number.
So the greatest common factor 335,361,213 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 64/335, 17/361, 341/213

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 64/335, 17/361, 341/213?

Answer: LCM of Numerators as per given numbers 64/335, 17/361, 341/213 is

LCM of Numerators i.e. for 64,17,341 is 371008

GCF of denominators i.e. for 335,361,213 is 1.

Thus, LCM of Fractions is 371008.Finally, LCM of Fractions for 64/335, 17/361, 341/213 is 371008.