Least Common Multiple of 36/519, 8480/6099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/519, 8480/6099 quickly i.e. 25440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/519, 8480/6099 is 25440.

LCM(36/519, 8480/6099) = 25440

LCM of 36/519, 8480/6099

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 36/519,8480/6099

Given numbers are 36/519,8480/6099

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 36,8480

Least Common Multiple of Numerators i.e. LCM of 36,8480 is 76320.

GCF of Denominators means GCF of 519,6099 as per the given fractions.

GCF of 519,6099 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,8480

LCM of Fractions 36/519,8480/6099 is 25440

2 36, 8480
2 18, 4240
9, 2120

∴ So the LCM of the given numbers is 2 x 2 x 9 x 2120 = 76320

Least Common Multiple of 36,8480 with GCF Formula

Least Common Multiple of 36,8480 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 36,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,8480) = 4

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

GCF(36,8480) x common factors =4 x 1 = 4

LCM(36,8480) = ( 36 × 8480 ) / 4

LCM(36,8480) = 305280 / 4

LCM(36,8480) = 76320


Lets's calculate GCF of 519,6099

3 519, 6099
173, 2033

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76320/3

Therefore the LCM of Fractions 36/519,8480/6099 is 25440

Greatest Common Factor of 519,6099 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,6099 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 6099

List of positive integer factors of 6099 that divides 6099 without a remainder.

1,3,19,57,107,321,2033,6099

Greatest Common Factor

We found the factors 519,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 519,6099 is 3.


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 36/519, 8480/6099

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 36/519, 8480/6099?

Answer: LCM of Numerators as per given numbers 36/519, 8480/6099 is

LCM of Numerators i.e. for 36,8480 is 76320

GCF of denominators i.e. for 519,6099 is 3.

Thus, LCM of Fractions is 25440.Finally, LCM of Fractions for 36/519, 8480/6099 is 25440.