Least Common Multiple of 419/80, 510/8079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/80, 510/8079 quickly i.e. 213690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/80, 510/8079 is 213690.

LCM(419/80, 510/8079) = 213690

LCM of 419/80, 510/8079

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 419/80,510/8079

Given numbers are 419/80,510/8079

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 419,510

Least Common Multiple of Numerators i.e. LCM of 419,510 is 213690.

GCF of Denominators means GCF of 80,8079 as per the given fractions.

GCF of 80,8079 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,510

LCM of Fractions 419/80,510/8079 is 213690

Given numbers has no common factors except 1. So, there LCM is their product i.e 213690

Least Common Multiple of 419,510 with GCF Formula

Least Common Multiple of 419,510 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 419,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,510) = 1

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

GCF(419,510) x common factors =1 x 1 = 1

LCM(419,510) = ( 419 × 510 ) / 1

LCM(419,510) = 213690 / 1

LCM(419,510) = 213690


Lets's calculate GCF of 80,8079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213690/1

Therefore the LCM of Fractions 419/80,510/8079 is 213690

Greatest Common Factor of 80,8079 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,8079 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1,3,2693,8079

Greatest Common Factor

We found the factors 80,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 80,8079 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 419/80, 510/8079

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 419/80, 510/8079?

Answer: LCM of Numerators as per given numbers 419/80, 510/8079 is

LCM of Numerators i.e. for 419,510 is 213690

GCF of denominators i.e. for 80,8079 is 1.

Thus, LCM of Fractions is 213690.Finally, LCM of Fractions for 419/80, 510/8079 is 213690.