Least Common Multiple of 67/255, 77/936, 459/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/255, 77/936, 459/405 quickly i.e. 789327 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/255, 77/936, 459/405 is 789327.

LCM(67/255, 77/936, 459/405) = 789327

LCM of 67/255, 77/936, 459/405

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 67/255,77/936,459/405

Given numbers are 67/255,77/936,459/405

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 67,77,459

Least Common Multiple of Numerators i.e. LCM of 67,77,459 is 2367981.

GCF of Denominators means GCF of 255,936,405 as per the given fractions.

GCF of 255,936,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,77,459

LCM of Fractions 67/255,77/936,459/405 is 789327

Given numbers has no common factors except 1. So, there LCM is their product i.e 2367981

Least Common Multiple of 67,77,459 with GCF Formula

Least Common Multiple of 67,77,459 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 67,77,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,77,459) = 1

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

GCF(67,77,459) x common factors =1 x 1 = 1

LCM(67,77,459) = ( 67 × 77 × 459 ) / 1

LCM(67,77,459) = 2367981 / 1

LCM(67,77,459) = 2367981


Lets's calculate GCF of 255,936,405

3 255, 936, 405
85, 312, 135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2367981/3

Therefore the LCM of Fractions 67/255,77/936,459/405 is 789327

Greatest Common Factor of 255,936,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,936,405 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 255,936,405 . The biggest common factor number is the GCF number.
So the greatest common factor 255,936,405 is 3.


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 67/255, 77/936, 459/405

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 67/255, 77/936, 459/405?

Answer: LCM of Numerators as per given numbers 67/255, 77/936, 459/405 is

LCM of Numerators i.e. for 67,77,459 is 2367981

GCF of denominators i.e. for 255,936,405 is 3.

Thus, LCM of Fractions is 789327.Finally, LCM of Fractions for 67/255, 77/936, 459/405 is 789327.