Least Common Multiple of 40/699, 53/618, 184/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/699, 53/618, 184/991 quickly i.e. 48760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/699, 53/618, 184/991 is 48760.

LCM(40/699, 53/618, 184/991) = 48760

LCM of 40/699, 53/618, 184/991

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 40/699,53/618,184/991

Given numbers are 40/699,53/618,184/991

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 40,53,184

Least Common Multiple of Numerators i.e. LCM of 40,53,184 is 48760.

GCF of Denominators means GCF of 699,618,991 as per the given fractions.

GCF of 699,618,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,53,184

LCM of Fractions 40/699,53/618,184/991 is 48760

2 40, 53, 184
2 20, 53, 92
2 10, 53, 46
5, 53, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 53 x 23 = 48760

Least Common Multiple of 40,53,184 with GCF Formula

Least Common Multiple of 40,53,184 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 40,53,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,53,184) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,53,184) x common factors =1 x 8 = 8

LCM(40,53,184) = ( 40 × 53 × 184 ) / 8

LCM(40,53,184) = 390080 / 8

LCM(40,53,184) = 48760


Lets's calculate GCF of 699,618,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48760/1

Therefore the LCM of Fractions 40/699,53/618,184/991 is 48760

Greatest Common Factor of 699,618,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,618,991 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 699,618,991 . The biggest common factor number is the GCF number.
So the greatest common factor 699,618,991 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 40/699, 53/618, 184/991

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 40/699, 53/618, 184/991?

Answer: LCM of Numerators as per given numbers 40/699, 53/618, 184/991 is

LCM of Numerators i.e. for 40,53,184 is 48760

GCF of denominators i.e. for 699,618,991 is 1.

Thus, LCM of Fractions is 48760.Finally, LCM of Fractions for 40/699, 53/618, 184/991 is 48760.