Least Common Multiple of 329/817, 205/972, 996/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/817, 205/972, 996/626 quickly i.e. 67175220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/817, 205/972, 996/626 is 67175220.

LCM(329/817, 205/972, 996/626) = 67175220

LCM of 329/817, 205/972, 996/626

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 329/817,205/972,996/626

Given numbers are 329/817,205/972,996/626

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 329,205,996

Least Common Multiple of Numerators i.e. LCM of 329,205,996 is 67175220.

GCF of Denominators means GCF of 817,972,626 as per the given fractions.

GCF of 817,972,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,205,996

LCM of Fractions 329/817,205/972,996/626 is 67175220

Given numbers has no common factors except 1. So, there LCM is their product i.e 67175220

Least Common Multiple of 329,205,996 with GCF Formula

Least Common Multiple of 329,205,996 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 329,205,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,205,996) = 1

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

GCF(329,205,996) x common factors =1 x 1 = 1

LCM(329,205,996) = ( 329 × 205 × 996 ) / 1

LCM(329,205,996) = 67175220 / 1

LCM(329,205,996) = 67175220


Lets's calculate GCF of 817,972,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67175220/1

Therefore the LCM of Fractions 329/817,205/972,996/626 is 67175220

Greatest Common Factor of 817,972,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,972,626 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 817,972,626 . The biggest common factor number is the GCF number.
So the greatest common factor 817,972,626 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 329/817, 205/972, 996/626

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 329/817, 205/972, 996/626?

Answer: LCM of Numerators as per given numbers 329/817, 205/972, 996/626 is

LCM of Numerators i.e. for 329,205,996 is 67175220

GCF of denominators i.e. for 817,972,626 is 1.

Thus, LCM of Fractions is 67175220.Finally, LCM of Fractions for 329/817, 205/972, 996/626 is 67175220.