Least Common Multiple of 829/321, 264/347, 945/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/321, 264/347, 945/658 quickly i.e. 68939640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/321, 264/347, 945/658 is 68939640.

LCM(829/321, 264/347, 945/658) = 68939640

LCM of 829/321, 264/347, 945/658

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 829/321,264/347,945/658

Given numbers are 829/321,264/347,945/658

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 829,264,945

Least Common Multiple of Numerators i.e. LCM of 829,264,945 is 68939640.

GCF of Denominators means GCF of 321,347,658 as per the given fractions.

GCF of 321,347,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,264,945

LCM of Fractions 829/321,264/347,945/658 is 68939640

3 829, 264, 945
829, 88, 315

∴ So the LCM of the given numbers is 3 x 829 x 88 x 315 = 68939640

Least Common Multiple of 829,264,945 with GCF Formula

Least Common Multiple of 829,264,945 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 829,264,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,264,945) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(829,264,945) x common factors =1 x 3 = 3

LCM(829,264,945) = ( 829 × 264 × 945 ) / 3

LCM(829,264,945) = 206818920 / 3

LCM(829,264,945) = 68939640


Lets's calculate GCF of 321,347,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68939640/1

Therefore the LCM of Fractions 829/321,264/347,945/658 is 68939640

Greatest Common Factor of 321,347,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,347,658 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 321,347,658 . The biggest common factor number is the GCF number.
So the greatest common factor 321,347,658 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 829/321, 264/347, 945/658

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 829/321, 264/347, 945/658?

Answer: LCM of Numerators as per given numbers 829/321, 264/347, 945/658 is

LCM of Numerators i.e. for 829,264,945 is 68939640

GCF of denominators i.e. for 321,347,658 is 1.

Thus, LCM of Fractions is 68939640.Finally, LCM of Fractions for 829/321, 264/347, 945/658 is 68939640.