Least Common Multiple of 2605/612, 2851/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2605/612, 2851/271 quickly i.e. 7426855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2605/612, 2851/271 is 7426855.

LCM(2605/612, 2851/271) = 7426855

LCM of 2605/612, 2851/271

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 2605/612,2851/271

Given numbers are 2605/612,2851/271

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 2605,2851

Least Common Multiple of Numerators i.e. LCM of 2605,2851 is 7426855.

GCF of Denominators means GCF of 612,271 as per the given fractions.

GCF of 612,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2605,2851

LCM of Fractions 2605/612,2851/271 is 7426855

Given numbers has no common factors except 1. So, there LCM is their product i.e 7426855

Least Common Multiple of 2605,2851 with GCF Formula

Least Common Multiple of 2605,2851 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 2605,2851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2605,2851) = 1

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

GCF(2605,2851) x common factors =1 x 1 = 1

LCM(2605,2851) = ( 2605 × 2851 ) / 1

LCM(2605,2851) = 7426855 / 1

LCM(2605,2851) = 7426855


Lets's calculate GCF of 612,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7426855/1

Therefore the LCM of Fractions 2605/612,2851/271 is 7426855

Greatest Common Factor of 612,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,271 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 612,271 . The biggest common factor number is the GCF number.
So the greatest common factor 612,271 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 2605/612, 2851/271

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 2605/612, 2851/271?

Answer: LCM of Numerators as per given numbers 2605/612, 2851/271 is

LCM of Numerators i.e. for 2605,2851 is 7426855

GCF of denominators i.e. for 612,271 is 1.

Thus, LCM of Fractions is 7426855.Finally, LCM of Fractions for 2605/612, 2851/271 is 7426855.