Least Common Multiple of 312/27, 807/2968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/27, 807/2968 quickly i.e. 83928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/27, 807/2968 is 83928.

LCM(312/27, 807/2968) = 83928

LCM of 312/27, 807/2968

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 312/27,807/2968

Given numbers are 312/27,807/2968

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 312,807

Least Common Multiple of Numerators i.e. LCM of 312,807 is 83928.

GCF of Denominators means GCF of 27,2968 as per the given fractions.

GCF of 27,2968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,807

LCM of Fractions 312/27,807/2968 is 83928

3 312, 807
104, 269

∴ So the LCM of the given numbers is 3 x 104 x 269 = 83928

Least Common Multiple of 312,807 with GCF Formula

Least Common Multiple of 312,807 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 312,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,807) = 3

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

GCF(312,807) x common factors =3 x 1 = 3

LCM(312,807) = ( 312 × 807 ) / 3

LCM(312,807) = 251784 / 3

LCM(312,807) = 83928


Lets's calculate GCF of 27,2968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83928/1

Therefore the LCM of Fractions 312/27,807/2968 is 83928

Greatest Common Factor of 27,2968 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,2968 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors 27,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2968 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 312/27, 807/2968

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 312/27, 807/2968?

Answer: LCM of Numerators as per given numbers 312/27, 807/2968 is

LCM of Numerators i.e. for 312,807 is 83928

GCF of denominators i.e. for 27,2968 is 1.

Thus, LCM of Fractions is 83928.Finally, LCM of Fractions for 312/27, 807/2968 is 83928.