Least Common Multiple of 2771/675, 8980/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2771/675, 8980/805 quickly i.e. 4976716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2771/675, 8980/805 is 4976716.

LCM(2771/675, 8980/805) = 4976716

LCM of 2771/675, 8980/805

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 2771/675,8980/805

Given numbers are 2771/675,8980/805

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 2771,8980

Least Common Multiple of Numerators i.e. LCM of 2771,8980 is 24883580.

GCF of Denominators means GCF of 675,805 as per the given fractions.

GCF of 675,805 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2771,8980

LCM of Fractions 2771/675,8980/805 is 4976716

Given numbers has no common factors except 1. So, there LCM is their product i.e 24883580

Least Common Multiple of 2771,8980 with GCF Formula

Least Common Multiple of 2771,8980 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 2771,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2771,8980) = 1

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

GCF(2771,8980) x common factors =1 x 1 = 1

LCM(2771,8980) = ( 2771 × 8980 ) / 1

LCM(2771,8980) = 24883580 / 1

LCM(2771,8980) = 24883580


Lets's calculate GCF of 675,805

5 675, 805
135, 161

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24883580/5

Therefore the LCM of Fractions 2771/675,8980/805 is 4976716

Greatest Common Factor of 675,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,805 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 675,805 . The biggest common factor number is the GCF number.
So the greatest common factor 675,805 is 5.


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 2771/675, 8980/805

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 2771/675, 8980/805?

Answer: LCM of Numerators as per given numbers 2771/675, 8980/805 is

LCM of Numerators i.e. for 2771,8980 is 24883580

GCF of denominators i.e. for 675,805 is 5.

Thus, LCM of Fractions is 4976716.Finally, LCM of Fractions for 2771/675, 8980/805 is 4976716.