Least Common Multiple of 20/295, 74/585, 369/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/295, 74/585, 369/421 quickly i.e. 273060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/295, 74/585, 369/421 is 273060.

LCM(20/295, 74/585, 369/421) = 273060

LCM of 20/295, 74/585, 369/421

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 20/295,74/585,369/421

Given numbers are 20/295,74/585,369/421

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 20,74,369

Least Common Multiple of Numerators i.e. LCM of 20,74,369 is 273060.

GCF of Denominators means GCF of 295,585,421 as per the given fractions.

GCF of 295,585,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,74,369

LCM of Fractions 20/295,74/585,369/421 is 273060

2 20, 74, 369
10, 37, 369

∴ So the LCM of the given numbers is 2 x 10 x 37 x 369 = 273060

Least Common Multiple of 20,74,369 with GCF Formula

Least Common Multiple of 20,74,369 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 20,74,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,74,369) = 1

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

GCF(20,74,369) x common factors =1 x 2 = 2

LCM(20,74,369) = ( 20 × 74 × 369 ) / 2

LCM(20,74,369) = 546120 / 2

LCM(20,74,369) = 273060


Lets's calculate GCF of 295,585,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273060/1

Therefore the LCM of Fractions 20/295,74/585,369/421 is 273060

Greatest Common Factor of 295,585,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,585,421 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 295,585,421 . The biggest common factor number is the GCF number.
So the greatest common factor 295,585,421 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 20/295, 74/585, 369/421

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 20/295, 74/585, 369/421?

Answer: LCM of Numerators as per given numbers 20/295, 74/585, 369/421 is

LCM of Numerators i.e. for 20,74,369 is 273060

GCF of denominators i.e. for 295,585,421 is 1.

Thus, LCM of Fractions is 273060.Finally, LCM of Fractions for 20/295, 74/585, 369/421 is 273060.