Least Common Multiple of 312/264, 6078/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/264, 6078/269 quickly i.e. 316056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/264, 6078/269 is 316056.

LCM(312/264, 6078/269) = 316056

LCM of 312/264, 6078/269

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 312/264,6078/269

Given numbers are 312/264,6078/269

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 312,6078

Least Common Multiple of Numerators i.e. LCM of 312,6078 is 316056.

GCF of Denominators means GCF of 264,269 as per the given fractions.

GCF of 264,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,6078

LCM of Fractions 312/264,6078/269 is 316056

2 312, 6078
3 156, 3039
52, 1013

∴ So the LCM of the given numbers is 2 x 3 x 52 x 1013 = 316056

Least Common Multiple of 312,6078 with GCF Formula

Least Common Multiple of 312,6078 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 312,6078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,6078) = 6

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

GCF(312,6078) x common factors =6 x 1 = 6

LCM(312,6078) = ( 312 × 6078 ) / 6

LCM(312,6078) = 1896336 / 6

LCM(312,6078) = 316056


Lets's calculate GCF of 264,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316056/1

Therefore the LCM of Fractions 312/264,6078/269 is 316056

Greatest Common Factor of 264,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,269 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 264,269 . The biggest common factor number is the GCF number.
So the greatest common factor 264,269 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 312/264, 6078/269

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 312/264, 6078/269?

Answer: LCM of Numerators as per given numbers 312/264, 6078/269 is

LCM of Numerators i.e. for 312,6078 is 316056

GCF of denominators i.e. for 264,269 is 1.

Thus, LCM of Fractions is 316056.Finally, LCM of Fractions for 312/264, 6078/269 is 316056.