Least Common Multiple of 5998/153, 3171/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5998/153, 3171/312 quickly i.e. 6339886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5998/153, 3171/312 is 6339886.

LCM(5998/153, 3171/312) = 6339886

LCM of 5998/153, 3171/312

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 5998/153,3171/312

Given numbers are 5998/153,3171/312

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 5998,3171

Least Common Multiple of Numerators i.e. LCM of 5998,3171 is 19019658.

GCF of Denominators means GCF of 153,312 as per the given fractions.

GCF of 153,312 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5998,3171

LCM of Fractions 5998/153,3171/312 is 6339886

Given numbers has no common factors except 1. So, there LCM is their product i.e 19019658

Least Common Multiple of 5998,3171 with GCF Formula

Least Common Multiple of 5998,3171 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 5998,3171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5998,3171) = 1

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

GCF(5998,3171) x common factors =1 x 1 = 1

LCM(5998,3171) = ( 5998 × 3171 ) / 1

LCM(5998,3171) = 19019658 / 1

LCM(5998,3171) = 19019658


Lets's calculate GCF of 153,312

3 153, 312
51, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19019658/3

Therefore the LCM of Fractions 5998/153,3171/312 is 6339886

Greatest Common Factor of 153,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,312 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 153,312 . The biggest common factor number is the GCF number.
So the greatest common factor 153,312 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 5998/153, 3171/312

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 5998/153, 3171/312?

Answer: LCM of Numerators as per given numbers 5998/153, 3171/312 is

LCM of Numerators i.e. for 5998,3171 is 19019658

GCF of denominators i.e. for 153,312 is 3.

Thus, LCM of Fractions is 6339886.Finally, LCM of Fractions for 5998/153, 3171/312 is 6339886.