Least Common Multiple of 312/552, 347/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/552, 347/268 quickly i.e. 27066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/552, 347/268 is 27066.

LCM(312/552, 347/268) = 27066

LCM of 312/552, 347/268

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 312/552,347/268

Given numbers are 312/552,347/268

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 312,347

Least Common Multiple of Numerators i.e. LCM of 312,347 is 108264.

GCF of Denominators means GCF of 552,268 as per the given fractions.

GCF of 552,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,347

LCM of Fractions 312/552,347/268 is 27066

Given numbers has no common factors except 1. So, there LCM is their product i.e 108264

Least Common Multiple of 312,347 with GCF Formula

Least Common Multiple of 312,347 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 312,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,347) = 1

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

GCF(312,347) x common factors =1 x 1 = 1

LCM(312,347) = ( 312 × 347 ) / 1

LCM(312,347) = 108264 / 1

LCM(312,347) = 108264


Lets's calculate GCF of 552,268

2 552, 268
2 276, 134
138, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108264/4

Therefore the LCM of Fractions 312/552,347/268 is 27066

Greatest Common Factor of 552,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,268 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 552,268 . The biggest common factor number is the GCF number.
So the greatest common factor 552,268 is 4.


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 312/552, 347/268

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 312/552, 347/268?

Answer: LCM of Numerators as per given numbers 312/552, 347/268 is

LCM of Numerators i.e. for 312,347 is 108264

GCF of denominators i.e. for 552,268 is 4.

Thus, LCM of Fractions is 27066.Finally, LCM of Fractions for 312/552, 347/268 is 27066.