Least Common Multiple of 581/55, 135/52, 493/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/55, 135/52, 493/267 quickly i.e. 38668455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/55, 135/52, 493/267 is 38668455.

LCM(581/55, 135/52, 493/267) = 38668455

LCM of 581/55, 135/52, 493/267

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 581/55,135/52,493/267

Given numbers are 581/55,135/52,493/267

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 581,135,493

Least Common Multiple of Numerators i.e. LCM of 581,135,493 is 38668455.

GCF of Denominators means GCF of 55,52,267 as per the given fractions.

GCF of 55,52,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,135,493

LCM of Fractions 581/55,135/52,493/267 is 38668455

Given numbers has no common factors except 1. So, there LCM is their product i.e 38668455

Least Common Multiple of 581,135,493 with GCF Formula

Least Common Multiple of 581,135,493 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 581,135,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,135,493) = 1

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

GCF(581,135,493) x common factors =1 x 1 = 1

LCM(581,135,493) = ( 581 × 135 × 493 ) / 1

LCM(581,135,493) = 38668455 / 1

LCM(581,135,493) = 38668455


Lets's calculate GCF of 55,52,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38668455/1

Therefore the LCM of Fractions 581/55,135/52,493/267 is 38668455

Greatest Common Factor of 55,52,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,52,267 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 55,52,267 . The biggest common factor number is the GCF number.
So the greatest common factor 55,52,267 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 581/55, 135/52, 493/267

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 581/55, 135/52, 493/267?

Answer: LCM of Numerators as per given numbers 581/55, 135/52, 493/267 is

LCM of Numerators i.e. for 581,135,493 is 38668455

GCF of denominators i.e. for 55,52,267 is 1.

Thus, LCM of Fractions is 38668455.Finally, LCM of Fractions for 581/55, 135/52, 493/267 is 38668455.