Least Common Multiple of 312/939, 9967/5217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/939, 9967/5217 quickly i.e. 1036568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/939, 9967/5217 is 1036568.

LCM(312/939, 9967/5217) = 1036568

LCM of 312/939, 9967/5217

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 312/939,9967/5217

Given numbers are 312/939,9967/5217

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 312,9967

Least Common Multiple of Numerators i.e. LCM of 312,9967 is 3109704.

GCF of Denominators means GCF of 939,5217 as per the given fractions.

GCF of 939,5217 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,9967

LCM of Fractions 312/939,9967/5217 is 1036568

Given numbers has no common factors except 1. So, there LCM is their product i.e 3109704

Least Common Multiple of 312,9967 with GCF Formula

Least Common Multiple of 312,9967 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 312,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,9967) = 1

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

GCF(312,9967) x common factors =1 x 1 = 1

LCM(312,9967) = ( 312 × 9967 ) / 1

LCM(312,9967) = 3109704 / 1

LCM(312,9967) = 3109704


Lets's calculate GCF of 939,5217

3 939, 5217
313, 1739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3109704/3

Therefore the LCM of Fractions 312/939,9967/5217 is 1036568

Greatest Common Factor of 939,5217 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,5217 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1,3,37,47,111,141,1739,5217

Greatest Common Factor

We found the factors 939,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 939,5217 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 312/939, 9967/5217

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 312/939, 9967/5217?

Answer: LCM of Numerators as per given numbers 312/939, 9967/5217 is

LCM of Numerators i.e. for 312,9967 is 3109704

GCF of denominators i.e. for 939,5217 is 3.

Thus, LCM of Fractions is 1036568.Finally, LCM of Fractions for 312/939, 9967/5217 is 1036568.