Least Common Multiple of 648/65, 817/90, 577/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/65, 817/90, 577/620 quickly i.e. 305473032/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/65, 817/90, 577/620 is 305473032/5.

LCM(648/65, 817/90, 577/620) = 305473032/5

LCM of 648/65, 817/90, 577/620

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 648/65,817/90,577/620

Given numbers are 648/65,817/90,577/620

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 648,817,577

Least Common Multiple of Numerators i.e. LCM of 648,817,577 is 305473032.

GCF of Denominators means GCF of 65,90,620 as per the given fractions.

GCF of 65,90,620 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,817,577

LCM of Fractions 648/65,817/90,577/620 is 305473032/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 305473032

Least Common Multiple of 648,817,577 with GCF Formula

Least Common Multiple of 648,817,577 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 648,817,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,817,577) = 1

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

GCF(648,817,577) x common factors =1 x 1 = 1

LCM(648,817,577) = ( 648 × 817 × 577 ) / 1

LCM(648,817,577) = 305473032 / 1

LCM(648,817,577) = 305473032


Lets's calculate GCF of 65,90,620

5 65, 90, 620
13, 18, 124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305473032/5

Therefore the LCM of Fractions 648/65,817/90,577/620 is 305473032/5

Greatest Common Factor of 65,90,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,90,620 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 65,90,620 . The biggest common factor number is the GCF number.
So the greatest common factor 65,90,620 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 648/65, 817/90, 577/620

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 648/65, 817/90, 577/620?

Answer: LCM of Numerators as per given numbers 648/65, 817/90, 577/620 is

LCM of Numerators i.e. for 648,817,577 is 305473032

GCF of denominators i.e. for 65,90,620 is 5.

Thus, LCM of Fractions is 305473032/5.Finally, LCM of Fractions for 648/65, 817/90, 577/620 is 305473032/5.