Least Common Multiple of 820/545, 638/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/545, 638/266 quickly i.e. 261580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/545, 638/266 is 261580.

LCM(820/545, 638/266) = 261580

LCM of 820/545, 638/266

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 820/545,638/266

Given numbers are 820/545,638/266

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 820,638

Least Common Multiple of Numerators i.e. LCM of 820,638 is 261580.

GCF of Denominators means GCF of 545,266 as per the given fractions.

GCF of 545,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,638

LCM of Fractions 820/545,638/266 is 261580

2 820, 638
410, 319

∴ So the LCM of the given numbers is 2 x 410 x 319 = 261580

Least Common Multiple of 820,638 with GCF Formula

Least Common Multiple of 820,638 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 820,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,638) = 2

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

GCF(820,638) x common factors =2 x 1 = 2

LCM(820,638) = ( 820 × 638 ) / 2

LCM(820,638) = 523160 / 2

LCM(820,638) = 261580


Lets's calculate GCF of 545,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261580/1

Therefore the LCM of Fractions 820/545,638/266 is 261580

Greatest Common Factor of 545,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,266 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 545,266 . The biggest common factor number is the GCF number.
So the greatest common factor 545,266 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 820/545, 638/266

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 820/545, 638/266?

Answer: LCM of Numerators as per given numbers 820/545, 638/266 is

LCM of Numerators i.e. for 820,638 is 261580

GCF of denominators i.e. for 545,266 is 1.

Thus, LCM of Fractions is 261580.Finally, LCM of Fractions for 820/545, 638/266 is 261580.