Least Common Multiple of 82/68, 605/80, 369/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/68, 605/80, 369/534 quickly i.e. 223245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/68, 605/80, 369/534 is 223245.

LCM(82/68, 605/80, 369/534) = 223245

LCM of 82/68, 605/80, 369/534

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 82/68,605/80,369/534

Given numbers are 82/68,605/80,369/534

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 82,605,369

Least Common Multiple of Numerators i.e. LCM of 82,605,369 is 446490.

GCF of Denominators means GCF of 68,80,534 as per the given fractions.

GCF of 68,80,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,605,369

LCM of Fractions 82/68,605/80,369/534 is 223245

41 82, 605, 369
2, 605, 9

∴ So the LCM of the given numbers is 41 x 2 x 605 x 9 = 446490

Least Common Multiple of 82,605,369 with GCF Formula

Least Common Multiple of 82,605,369 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 82,605,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,605,369) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(82,605,369) x common factors =1 x 41 = 41

LCM(82,605,369) = ( 82 × 605 × 369 ) / 41

LCM(82,605,369) = 18306090 / 41

LCM(82,605,369) = 446490


Lets's calculate GCF of 68,80,534

2 68, 80, 534
34, 40, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446490/2

Therefore the LCM of Fractions 82/68,605/80,369/534 is 223245

Greatest Common Factor of 68,80,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,80,534 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 68,80,534 . The biggest common factor number is the GCF number.
So the greatest common factor 68,80,534 is 2.


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 82/68, 605/80, 369/534

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 82/68, 605/80, 369/534?

Answer: LCM of Numerators as per given numbers 82/68, 605/80, 369/534 is

LCM of Numerators i.e. for 82,605,369 is 446490

GCF of denominators i.e. for 68,80,534 is 2.

Thus, LCM of Fractions is 223245.Finally, LCM of Fractions for 82/68, 605/80, 369/534 is 223245.