Least Common Multiple of 196/422, 6579/1580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/422, 6579/1580 quickly i.e. 644742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/422, 6579/1580 is 644742.

LCM(196/422, 6579/1580) = 644742

LCM of 196/422, 6579/1580

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 196/422,6579/1580

Given numbers are 196/422,6579/1580

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 196,6579

Least Common Multiple of Numerators i.e. LCM of 196,6579 is 1289484.

GCF of Denominators means GCF of 422,1580 as per the given fractions.

GCF of 422,1580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,6579

LCM of Fractions 196/422,6579/1580 is 644742

Given numbers has no common factors except 1. So, there LCM is their product i.e 1289484

Least Common Multiple of 196,6579 with GCF Formula

Least Common Multiple of 196,6579 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 196,6579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,6579) = 1

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

GCF(196,6579) x common factors =1 x 1 = 1

LCM(196,6579) = ( 196 × 6579 ) / 1

LCM(196,6579) = 1289484 / 1

LCM(196,6579) = 1289484


Lets's calculate GCF of 422,1580

2 422, 1580
211, 790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1289484/2

Therefore the LCM of Fractions 196/422,6579/1580 is 644742

Greatest Common Factor of 422,1580 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,1580 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 1580

List of positive integer factors of 1580 that divides 1580 without a remainder.

1,2,4,5,10,20,79,158,316,395,790,1580

Greatest Common Factor

We found the factors 422,1580 . The biggest common factor number is the GCF number.
So the greatest common factor 422,1580 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 196/422, 6579/1580

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 196/422, 6579/1580?

Answer: LCM of Numerators as per given numbers 196/422, 6579/1580 is

LCM of Numerators i.e. for 196,6579 is 1289484

GCF of denominators i.e. for 422,1580 is 2.

Thus, LCM of Fractions is 644742.Finally, LCM of Fractions for 196/422, 6579/1580 is 644742.