Least Common Multiple of 809/42, 920/64, 643/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/42, 920/64, 643/260 quickly i.e. 239286020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/42, 920/64, 643/260 is 239286020.

LCM(809/42, 920/64, 643/260) = 239286020

LCM of 809/42, 920/64, 643/260

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 809/42,920/64,643/260

Given numbers are 809/42,920/64,643/260

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 809,920,643

Least Common Multiple of Numerators i.e. LCM of 809,920,643 is 478572040.

GCF of Denominators means GCF of 42,64,260 as per the given fractions.

GCF of 42,64,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,920,643

LCM of Fractions 809/42,920/64,643/260 is 239286020

Given numbers has no common factors except 1. So, there LCM is their product i.e 478572040

Least Common Multiple of 809,920,643 with GCF Formula

Least Common Multiple of 809,920,643 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 809,920,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,920,643) = 1

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

GCF(809,920,643) x common factors =1 x 1 = 1

LCM(809,920,643) = ( 809 × 920 × 643 ) / 1

LCM(809,920,643) = 478572040 / 1

LCM(809,920,643) = 478572040


Lets's calculate GCF of 42,64,260

2 42, 64, 260
21, 32, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478572040/2

Therefore the LCM of Fractions 809/42,920/64,643/260 is 239286020

Greatest Common Factor of 42,64,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,64,260 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 42,64,260 . The biggest common factor number is the GCF number.
So the greatest common factor 42,64,260 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 809/42, 920/64, 643/260

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 809/42, 920/64, 643/260?

Answer: LCM of Numerators as per given numbers 809/42, 920/64, 643/260 is

LCM of Numerators i.e. for 809,920,643 is 478572040

GCF of denominators i.e. for 42,64,260 is 2.

Thus, LCM of Fractions is 239286020.Finally, LCM of Fractions for 809/42, 920/64, 643/260 is 239286020.