Least Common Multiple of 267/78, 442/65, 684/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/78, 442/65, 684/405 quickly i.e. 13453596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/78, 442/65, 684/405 is 13453596.

LCM(267/78, 442/65, 684/405) = 13453596

LCM of 267/78, 442/65, 684/405

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 267/78,442/65,684/405

Given numbers are 267/78,442/65,684/405

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 267,442,684

Least Common Multiple of Numerators i.e. LCM of 267,442,684 is 13453596.

GCF of Denominators means GCF of 78,65,405 as per the given fractions.

GCF of 78,65,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,442,684

LCM of Fractions 267/78,442/65,684/405 is 13453596

2 267, 442, 684
3 267, 221, 342
89, 221, 114

∴ So the LCM of the given numbers is 2 x 3 x 89 x 221 x 114 = 13453596

Least Common Multiple of 267,442,684 with GCF Formula

Least Common Multiple of 267,442,684 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 267,442,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,442,684) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(267,442,684) x common factors =1 x 6 = 6

LCM(267,442,684) = ( 267 × 442 × 684 ) / 6

LCM(267,442,684) = 80721576 / 6

LCM(267,442,684) = 13453596


Lets's calculate GCF of 78,65,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13453596/1

Therefore the LCM of Fractions 267/78,442/65,684/405 is 13453596

Greatest Common Factor of 78,65,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,65,405 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

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 78,65,405 . The biggest common factor number is the GCF number.
So the greatest common factor 78,65,405 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 267/78, 442/65, 684/405

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 267/78, 442/65, 684/405?

Answer: LCM of Numerators as per given numbers 267/78, 442/65, 684/405 is

LCM of Numerators i.e. for 267,442,684 is 13453596

GCF of denominators i.e. for 78,65,405 is 1.

Thus, LCM of Fractions is 13453596.Finally, LCM of Fractions for 267/78, 442/65, 684/405 is 13453596.