Least Common Multiple of 605/65, 434/83, 215/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/65, 434/83, 215/767 quickly i.e. 11290510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/65, 434/83, 215/767 is 11290510.

LCM(605/65, 434/83, 215/767) = 11290510

LCM of 605/65, 434/83, 215/767

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 605/65,434/83,215/767

Given numbers are 605/65,434/83,215/767

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 605,434,215

Least Common Multiple of Numerators i.e. LCM of 605,434,215 is 11290510.

GCF of Denominators means GCF of 65,83,767 as per the given fractions.

GCF of 65,83,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,434,215

LCM of Fractions 605/65,434/83,215/767 is 11290510

5 605, 434, 215
121, 434, 43

∴ So the LCM of the given numbers is 5 x 121 x 434 x 43 = 11290510

Least Common Multiple of 605,434,215 with GCF Formula

Least Common Multiple of 605,434,215 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 605,434,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,434,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(605,434,215) x common factors =1 x 5 = 5

LCM(605,434,215) = ( 605 × 434 × 215 ) / 5

LCM(605,434,215) = 56452550 / 5

LCM(605,434,215) = 11290510


Lets's calculate GCF of 65,83,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11290510/1

Therefore the LCM of Fractions 605/65,434/83,215/767 is 11290510

Greatest Common Factor of 65,83,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,83,767 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 65,83,767 . The biggest common factor number is the GCF number.
So the greatest common factor 65,83,767 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 605/65, 434/83, 215/767

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 605/65, 434/83, 215/767?

Answer: LCM of Numerators as per given numbers 605/65, 434/83, 215/767 is

LCM of Numerators i.e. for 605,434,215 is 11290510

GCF of denominators i.e. for 65,83,767 is 1.

Thus, LCM of Fractions is 11290510.Finally, LCM of Fractions for 605/65, 434/83, 215/767 is 11290510.