Least Common Multiple of 405/20, 860/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/20, 860/426 quickly i.e. 34830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/20, 860/426 is 34830.

LCM(405/20, 860/426) = 34830

LCM of 405/20, 860/426

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 405/20,860/426

Given numbers are 405/20,860/426

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 405,860

Least Common Multiple of Numerators i.e. LCM of 405,860 is 69660.

GCF of Denominators means GCF of 20,426 as per the given fractions.

GCF of 20,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,860

LCM of Fractions 405/20,860/426 is 34830

5 405, 860
81, 172

∴ So the LCM of the given numbers is 5 x 81 x 172 = 69660

Least Common Multiple of 405,860 with GCF Formula

Least Common Multiple of 405,860 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 405,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,860) = 5

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

GCF(405,860) x common factors =5 x 1 = 5

LCM(405,860) = ( 405 × 860 ) / 5

LCM(405,860) = 348300 / 5

LCM(405,860) = 69660


Lets's calculate GCF of 20,426

2 20, 426
10, 213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69660/2

Therefore the LCM of Fractions 405/20,860/426 is 34830

Greatest Common Factor of 20,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,426 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 20,426 . The biggest common factor number is the GCF number.
So the greatest common factor 20,426 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 405/20, 860/426

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 405/20, 860/426?

Answer: LCM of Numerators as per given numbers 405/20, 860/426 is

LCM of Numerators i.e. for 405,860 is 69660

GCF of denominators i.e. for 20,426 is 2.

Thus, LCM of Fractions is 34830.Finally, LCM of Fractions for 405/20, 860/426 is 34830.