Least Common Multiple of 68/410, 585/204, 198/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/410, 585/204, 198/920 quickly i.e. 218790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/410, 585/204, 198/920 is 218790.

LCM(68/410, 585/204, 198/920) = 218790

LCM of 68/410, 585/204, 198/920

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 68/410,585/204,198/920

Given numbers are 68/410,585/204,198/920

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 68,585,198

Least Common Multiple of Numerators i.e. LCM of 68,585,198 is 437580.

GCF of Denominators means GCF of 410,204,920 as per the given fractions.

GCF of 410,204,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,585,198

LCM of Fractions 68/410,585/204,198/920 is 218790

2 68, 585, 198
3 34, 585, 99
3 34, 195, 33
34, 65, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 65 x 11 = 437580

Least Common Multiple of 68,585,198 with GCF Formula

Least Common Multiple of 68,585,198 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 68,585,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,585,198) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(68,585,198) x common factors =1 x 18 = 18

LCM(68,585,198) = ( 68 × 585 × 198 ) / 18

LCM(68,585,198) = 7876440 / 18

LCM(68,585,198) = 437580


Lets's calculate GCF of 410,204,920

2 410, 204, 920
205, 102, 460

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 437580/2

Therefore the LCM of Fractions 68/410,585/204,198/920 is 218790

Greatest Common Factor of 410,204,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,204,920 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 410,204,920 . The biggest common factor number is the GCF number.
So the greatest common factor 410,204,920 is 2.


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 68/410, 585/204, 198/920

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 68/410, 585/204, 198/920?

Answer: LCM of Numerators as per given numbers 68/410, 585/204, 198/920 is

LCM of Numerators i.e. for 68,585,198 is 437580

GCF of denominators i.e. for 410,204,920 is 2.

Thus, LCM of Fractions is 218790.Finally, LCM of Fractions for 68/410, 585/204, 198/920 is 218790.