Least Common Multiple of 217/664, 326/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/664, 326/629 quickly i.e. 70742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/664, 326/629 is 70742.

LCM(217/664, 326/629) = 70742

LCM of 217/664, 326/629

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 217/664,326/629

Given numbers are 217/664,326/629

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 217,326

Least Common Multiple of Numerators i.e. LCM of 217,326 is 70742.

GCF of Denominators means GCF of 664,629 as per the given fractions.

GCF of 664,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,326

LCM of Fractions 217/664,326/629 is 70742

Given numbers has no common factors except 1. So, there LCM is their product i.e 70742

Least Common Multiple of 217,326 with GCF Formula

Least Common Multiple of 217,326 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 217,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,326) = 1

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

GCF(217,326) x common factors =1 x 1 = 1

LCM(217,326) = ( 217 × 326 ) / 1

LCM(217,326) = 70742 / 1

LCM(217,326) = 70742


Lets's calculate GCF of 664,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70742/1

Therefore the LCM of Fractions 217/664,326/629 is 70742

Greatest Common Factor of 664,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,629 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 664,629 . The biggest common factor number is the GCF number.
So the greatest common factor 664,629 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 217/664, 326/629

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 217/664, 326/629?

Answer: LCM of Numerators as per given numbers 217/664, 326/629 is

LCM of Numerators i.e. for 217,326 is 70742

GCF of denominators i.e. for 664,629 is 1.

Thus, LCM of Fractions is 70742.Finally, LCM of Fractions for 217/664, 326/629 is 70742.