Least Common Multiple of 820/326, 655/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/326, 655/217 quickly i.e. 107420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/326, 655/217 is 107420.

LCM(820/326, 655/217) = 107420

LCM of 820/326, 655/217

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 820/326,655/217

Given numbers are 820/326,655/217

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 820,655

Least Common Multiple of Numerators i.e. LCM of 820,655 is 107420.

GCF of Denominators means GCF of 326,217 as per the given fractions.

GCF of 326,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,655

LCM of Fractions 820/326,655/217 is 107420

5 820, 655
164, 131

∴ So the LCM of the given numbers is 5 x 164 x 131 = 107420

Least Common Multiple of 820,655 with GCF Formula

Least Common Multiple of 820,655 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 820,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,655) = 5

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

GCF(820,655) x common factors =5 x 1 = 5

LCM(820,655) = ( 820 × 655 ) / 5

LCM(820,655) = 537100 / 5

LCM(820,655) = 107420


Lets's calculate GCF of 326,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107420/1

Therefore the LCM of Fractions 820/326,655/217 is 107420

Greatest Common Factor of 326,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,217 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 326,217 . The biggest common factor number is the GCF number.
So the greatest common factor 326,217 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 820/326, 655/217

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 820/326, 655/217?

Answer: LCM of Numerators as per given numbers 820/326, 655/217 is

LCM of Numerators i.e. for 820,655 is 107420

GCF of denominators i.e. for 326,217 is 1.

Thus, LCM of Fractions is 107420.Finally, LCM of Fractions for 820/326, 655/217 is 107420.