Least Common Multiple of 61/205, 10/821, 338/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/205, 10/821, 338/731 quickly i.e. 103090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/205, 10/821, 338/731 is 103090.

LCM(61/205, 10/821, 338/731) = 103090

LCM of 61/205, 10/821, 338/731

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 61/205,10/821,338/731

Given numbers are 61/205,10/821,338/731

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 61,10,338

Least Common Multiple of Numerators i.e. LCM of 61,10,338 is 103090.

GCF of Denominators means GCF of 205,821,731 as per the given fractions.

GCF of 205,821,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,10,338

LCM of Fractions 61/205,10/821,338/731 is 103090

2 61, 10, 338
61, 5, 169

∴ So the LCM of the given numbers is 2 x 61 x 5 x 169 = 103090

Least Common Multiple of 61,10,338 with GCF Formula

Least Common Multiple of 61,10,338 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 61,10,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,10,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,10,338) x common factors =1 x 2 = 2

LCM(61,10,338) = ( 61 × 10 × 338 ) / 2

LCM(61,10,338) = 206180 / 2

LCM(61,10,338) = 103090


Lets's calculate GCF of 205,821,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103090/1

Therefore the LCM of Fractions 61/205,10/821,338/731 is 103090

Greatest Common Factor of 205,821,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,821,731 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 205,821,731 . The biggest common factor number is the GCF number.
So the greatest common factor 205,821,731 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 61/205, 10/821, 338/731

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 61/205, 10/821, 338/731?

Answer: LCM of Numerators as per given numbers 61/205, 10/821, 338/731 is

LCM of Numerators i.e. for 61,10,338 is 103090

GCF of denominators i.e. for 205,821,731 is 1.

Thus, LCM of Fractions is 103090.Finally, LCM of Fractions for 61/205, 10/821, 338/731 is 103090.