Least Common Multiple of 312/247, 1267/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/247, 1267/192 quickly i.e. 395304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/247, 1267/192 is 395304.

LCM(312/247, 1267/192) = 395304

LCM of 312/247, 1267/192

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 312/247,1267/192

Given numbers are 312/247,1267/192

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 312,1267

Least Common Multiple of Numerators i.e. LCM of 312,1267 is 395304.

GCF of Denominators means GCF of 247,192 as per the given fractions.

GCF of 247,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,1267

LCM of Fractions 312/247,1267/192 is 395304

Given numbers has no common factors except 1. So, there LCM is their product i.e 395304

Least Common Multiple of 312,1267 with GCF Formula

Least Common Multiple of 312,1267 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 312,1267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,1267) = 1

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

GCF(312,1267) x common factors =1 x 1 = 1

LCM(312,1267) = ( 312 × 1267 ) / 1

LCM(312,1267) = 395304 / 1

LCM(312,1267) = 395304


Lets's calculate GCF of 247,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395304/1

Therefore the LCM of Fractions 312/247,1267/192 is 395304

Greatest Common Factor of 247,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,192 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 247,192 . The biggest common factor number is the GCF number.
So the greatest common factor 247,192 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 312/247, 1267/192

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 312/247, 1267/192?

Answer: LCM of Numerators as per given numbers 312/247, 1267/192 is

LCM of Numerators i.e. for 312,1267 is 395304

GCF of denominators i.e. for 247,192 is 1.

Thus, LCM of Fractions is 395304.Finally, LCM of Fractions for 312/247, 1267/192 is 395304.