Least Common Multiple of 5199/730, 1989/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5199/730, 1989/657 quickly i.e. 3446937/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5199/730, 1989/657 is 3446937/73.

LCM(5199/730, 1989/657) = 3446937/73

LCM of 5199/730, 1989/657

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 5199/730,1989/657

Given numbers are 5199/730,1989/657

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 5199,1989

Least Common Multiple of Numerators i.e. LCM of 5199,1989 is 3446937.

GCF of Denominators means GCF of 730,657 as per the given fractions.

GCF of 730,657 is 73 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5199,1989

LCM of Fractions 5199/730,1989/657 is 3446937/73

3 5199, 1989
1733, 663

∴ So the LCM of the given numbers is 3 x 1733 x 663 = 3446937

Least Common Multiple of 5199,1989 with GCF Formula

Least Common Multiple of 5199,1989 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 5199,1989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5199,1989) = 3

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

GCF(5199,1989) x common factors =3 x 1 = 3

LCM(5199,1989) = ( 5199 × 1989 ) / 3

LCM(5199,1989) = 10340811 / 3

LCM(5199,1989) = 3446937


Lets's calculate GCF of 730,657

73 730, 657
10, 9

∴ So the GCF of the given numbers is 73 = 73

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3446937/73

Therefore the LCM of Fractions 5199/730,1989/657 is 3446937/73

Greatest Common Factor of 730,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,657 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 730,657 . The biggest common factor number is the GCF number.
So the greatest common factor 730,657 is 73.


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 5199/730, 1989/657

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 5199/730, 1989/657?

Answer: LCM of Numerators as per given numbers 5199/730, 1989/657 is

LCM of Numerators i.e. for 5199,1989 is 3446937

GCF of denominators i.e. for 730,657 is 73.

Thus, LCM of Fractions is 3446937/73.Finally, LCM of Fractions for 5199/730, 1989/657 is 3446937/73.