Least Common Multiple of 605/59, 165/92, 396/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/59, 165/92, 396/341 quickly i.e. 21780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/59, 165/92, 396/341 is 21780.

LCM(605/59, 165/92, 396/341) = 21780

LCM of 605/59, 165/92, 396/341

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 605/59,165/92,396/341

Given numbers are 605/59,165/92,396/341

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 605,165,396

Least Common Multiple of Numerators i.e. LCM of 605,165,396 is 21780.

GCF of Denominators means GCF of 59,92,341 as per the given fractions.

GCF of 59,92,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,165,396

LCM of Fractions 605/59,165/92,396/341 is 21780

3 605, 165, 396
5 605, 55, 132
11 121, 11, 132
1, 11, 12

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 11 x 12 = 21780

Least Common Multiple of 605,165,396 with GCF Formula

Least Common Multiple of 605,165,396 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 605,165,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,165,396) = 11

common factors(in case of two or more numbers have common factors) = 165

GCF(605,165,396) x common factors =11 x 165 = 1815

LCM(605,165,396) = ( 605 × 165 × 396 ) / 1815

LCM(605,165,396) = 39530700 / 1815

LCM(605,165,396) = 21780


Lets's calculate GCF of 59,92,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21780/1

Therefore the LCM of Fractions 605/59,165/92,396/341 is 21780

Greatest Common Factor of 59,92,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,92,341 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 59,92,341 . The biggest common factor number is the GCF number.
So the greatest common factor 59,92,341 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 605/59, 165/92, 396/341

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 605/59, 165/92, 396/341?

Answer: LCM of Numerators as per given numbers 605/59, 165/92, 396/341 is

LCM of Numerators i.e. for 605,165,396 is 21780

GCF of denominators i.e. for 59,92,341 is 1.

Thus, LCM of Fractions is 21780.Finally, LCM of Fractions for 605/59, 165/92, 396/341 is 21780.