Least Common Multiple of 164/40, 585/5988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/40, 585/5988 quickly i.e. 23985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/40, 585/5988 is 23985.

LCM(164/40, 585/5988) = 23985

LCM of 164/40, 585/5988

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 164/40,585/5988

Given numbers are 164/40,585/5988

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 164,585

Least Common Multiple of Numerators i.e. LCM of 164,585 is 95940.

GCF of Denominators means GCF of 40,5988 as per the given fractions.

GCF of 40,5988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,585

LCM of Fractions 164/40,585/5988 is 23985

Given numbers has no common factors except 1. So, there LCM is their product i.e 95940

Least Common Multiple of 164,585 with GCF Formula

Least Common Multiple of 164,585 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 164,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,585) = 1

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

GCF(164,585) x common factors =1 x 1 = 1

LCM(164,585) = ( 164 × 585 ) / 1

LCM(164,585) = 95940 / 1

LCM(164,585) = 95940


Lets's calculate GCF of 40,5988

2 40, 5988
2 20, 2994
10, 1497

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95940/4

Therefore the LCM of Fractions 164/40,585/5988 is 23985

Greatest Common Factor of 40,5988 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5988 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1,2,3,4,6,12,499,998,1497,1996,2994,5988

Greatest Common Factor

We found the factors 40,5988 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5988 is 4.


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 164/40, 585/5988

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 164/40, 585/5988?

Answer: LCM of Numerators as per given numbers 164/40, 585/5988 is

LCM of Numerators i.e. for 164,585 is 95940

GCF of denominators i.e. for 40,5988 is 4.

Thus, LCM of Fractions is 23985.Finally, LCM of Fractions for 164/40, 585/5988 is 23985.