Least Common Multiple of 271/28, 386/3292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/28, 386/3292 quickly i.e. 104606/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/28, 386/3292 is 104606/4.

LCM(271/28, 386/3292) = 104606/4

LCM of 271/28, 386/3292

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 271/28,386/3292

Given numbers are 271/28,386/3292

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 271,386

Least Common Multiple of Numerators i.e. LCM of 271,386 is 104606.

GCF of Denominators means GCF of 28,3292 as per the given fractions.

GCF of 28,3292 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,386

LCM of Fractions 271/28,386/3292 is 104606/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 104606

Least Common Multiple of 271,386 with GCF Formula

Least Common Multiple of 271,386 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 271,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,386) = 1

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

GCF(271,386) x common factors =1 x 1 = 1

LCM(271,386) = ( 271 × 386 ) / 1

LCM(271,386) = 104606 / 1

LCM(271,386) = 104606


Lets's calculate GCF of 28,3292

2 28, 3292
2 14, 1646
7, 823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104606/4

Therefore the LCM of Fractions 271/28,386/3292 is 104606/4

Greatest Common Factor of 28,3292 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3292 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 3292

List of positive integer factors of 3292 that divides 3292 without a remainder.

1,2,4,823,1646,3292

Greatest Common Factor

We found the factors 28,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3292 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 271/28, 386/3292

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 271/28, 386/3292?

Answer: LCM of Numerators as per given numbers 271/28, 386/3292 is

LCM of Numerators i.e. for 271,386 is 104606

GCF of denominators i.e. for 28,3292 is 4.

Thus, LCM of Fractions is 104606/4.Finally, LCM of Fractions for 271/28, 386/3292 is 104606/4.