Least Common Multiple of 585/24, 924/51, 899/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/24, 924/51, 899/111 quickly i.e. 53993940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/24, 924/51, 899/111 is 53993940.

LCM(585/24, 924/51, 899/111) = 53993940

LCM of 585/24, 924/51, 899/111

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 585/24,924/51,899/111

Given numbers are 585/24,924/51,899/111

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 585,924,899

Least Common Multiple of Numerators i.e. LCM of 585,924,899 is 161981820.

GCF of Denominators means GCF of 24,51,111 as per the given fractions.

GCF of 24,51,111 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,924,899

LCM of Fractions 585/24,924/51,899/111 is 53993940

3 585, 924, 899
195, 308, 899

∴ So the LCM of the given numbers is 3 x 195 x 308 x 899 = 161981820

Least Common Multiple of 585,924,899 with GCF Formula

Least Common Multiple of 585,924,899 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 585,924,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,924,899) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(585,924,899) x common factors =1 x 3 = 3

LCM(585,924,899) = ( 585 × 924 × 899 ) / 3

LCM(585,924,899) = 485945460 / 3

LCM(585,924,899) = 161981820


Lets's calculate GCF of 24,51,111

3 24, 51, 111
8, 17, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161981820/3

Therefore the LCM of Fractions 585/24,924/51,899/111 is 53993940

Greatest Common Factor of 24,51,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,51,111 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 24,51,111 . The biggest common factor number is the GCF number.
So the greatest common factor 24,51,111 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 585/24, 924/51, 899/111

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 585/24, 924/51, 899/111?

Answer: LCM of Numerators as per given numbers 585/24, 924/51, 899/111 is

LCM of Numerators i.e. for 585,924,899 is 161981820

GCF of denominators i.e. for 24,51,111 is 3.

Thus, LCM of Fractions is 53993940.Finally, LCM of Fractions for 585/24, 924/51, 899/111 is 53993940.