Least Common Multiple of 312/831, 7305/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/831, 7305/678 quickly i.e. 253240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/831, 7305/678 is 253240.

LCM(312/831, 7305/678) = 253240

LCM of 312/831, 7305/678

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 312/831,7305/678

Given numbers are 312/831,7305/678

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 312,7305

Least Common Multiple of Numerators i.e. LCM of 312,7305 is 759720.

GCF of Denominators means GCF of 831,678 as per the given fractions.

GCF of 831,678 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,7305

LCM of Fractions 312/831,7305/678 is 253240

3 312, 7305
104, 2435

∴ So the LCM of the given numbers is 3 x 104 x 2435 = 759720

Least Common Multiple of 312,7305 with GCF Formula

Least Common Multiple of 312,7305 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 312,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,7305) = 3

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

GCF(312,7305) x common factors =3 x 1 = 3

LCM(312,7305) = ( 312 × 7305 ) / 3

LCM(312,7305) = 2279160 / 3

LCM(312,7305) = 759720


Lets's calculate GCF of 831,678

3 831, 678
277, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 759720/3

Therefore the LCM of Fractions 312/831,7305/678 is 253240

Greatest Common Factor of 831,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,678 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 831,678 . The biggest common factor number is the GCF number.
So the greatest common factor 831,678 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 312/831, 7305/678

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 312/831, 7305/678?

Answer: LCM of Numerators as per given numbers 312/831, 7305/678 is

LCM of Numerators i.e. for 312,7305 is 759720

GCF of denominators i.e. for 831,678 is 3.

Thus, LCM of Fractions is 253240.Finally, LCM of Fractions for 312/831, 7305/678 is 253240.