Least Common Multiple of 5199/68, 7216/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5199/68, 7216/489 quickly i.e. 37515984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5199/68, 7216/489 is 37515984.

LCM(5199/68, 7216/489) = 37515984

LCM of 5199/68, 7216/489

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 5199/68,7216/489

Given numbers are 5199/68,7216/489

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 5199,7216

Least Common Multiple of Numerators i.e. LCM of 5199,7216 is 37515984.

GCF of Denominators means GCF of 68,489 as per the given fractions.

GCF of 68,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5199,7216

LCM of Fractions 5199/68,7216/489 is 37515984

Given numbers has no common factors except 1. So, there LCM is their product i.e 37515984

Least Common Multiple of 5199,7216 with GCF Formula

Least Common Multiple of 5199,7216 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 5199,7216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5199,7216) = 1

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

GCF(5199,7216) x common factors =1 x 1 = 1

LCM(5199,7216) = ( 5199 × 7216 ) / 1

LCM(5199,7216) = 37515984 / 1

LCM(5199,7216) = 37515984


Lets's calculate GCF of 68,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37515984/1

Therefore the LCM of Fractions 5199/68,7216/489 is 37515984

Greatest Common Factor of 68,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,489 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 68,489 . The biggest common factor number is the GCF number.
So the greatest common factor 68,489 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 5199/68, 7216/489

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 5199/68, 7216/489?

Answer: LCM of Numerators as per given numbers 5199/68, 7216/489 is

LCM of Numerators i.e. for 5199,7216 is 37515984

GCF of denominators i.e. for 68,489 is 1.

Thus, LCM of Fractions is 37515984.Finally, LCM of Fractions for 5199/68, 7216/489 is 37515984.