Least Common Multiple of 583/65, 155/8112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/65, 155/8112 quickly i.e. 90365/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/65, 155/8112 is 90365/13.

LCM(583/65, 155/8112) = 90365/13

LCM of 583/65, 155/8112

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 583/65,155/8112

Given numbers are 583/65,155/8112

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 583,155

Least Common Multiple of Numerators i.e. LCM of 583,155 is 90365.

GCF of Denominators means GCF of 65,8112 as per the given fractions.

GCF of 65,8112 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,155

LCM of Fractions 583/65,155/8112 is 90365/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 90365

Least Common Multiple of 583,155 with GCF Formula

Least Common Multiple of 583,155 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 583,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,155) = 1

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

GCF(583,155) x common factors =1 x 1 = 1

LCM(583,155) = ( 583 × 155 ) / 1

LCM(583,155) = 90365 / 1

LCM(583,155) = 90365


Lets's calculate GCF of 65,8112

13 65, 8112
5, 624

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90365/13

Therefore the LCM of Fractions 583/65,155/8112 is 90365/13

Greatest Common Factor of 65,8112 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,8112 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 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112

Greatest Common Factor

We found the factors 65,8112 . The biggest common factor number is the GCF number.
So the greatest common factor 65,8112 is 13.


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 583/65, 155/8112

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 583/65, 155/8112?

Answer: LCM of Numerators as per given numbers 583/65, 155/8112 is

LCM of Numerators i.e. for 583,155 is 90365

GCF of denominators i.e. for 65,8112 is 13.

Thus, LCM of Fractions is 90365/13.Finally, LCM of Fractions for 583/65, 155/8112 is 90365/13.