Least Common Multiple of 440/78, 405/2412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/78, 405/2412 quickly i.e. 5940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/78, 405/2412 is 5940.

LCM(440/78, 405/2412) = 5940

LCM of 440/78, 405/2412

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 440/78,405/2412

Given numbers are 440/78,405/2412

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 440,405

Least Common Multiple of Numerators i.e. LCM of 440,405 is 35640.

GCF of Denominators means GCF of 78,2412 as per the given fractions.

GCF of 78,2412 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,405

LCM of Fractions 440/78,405/2412 is 5940

5 440, 405
88, 81

∴ So the LCM of the given numbers is 5 x 88 x 81 = 35640

Least Common Multiple of 440,405 with GCF Formula

Least Common Multiple of 440,405 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 440,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,405) = 5

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

GCF(440,405) x common factors =5 x 1 = 5

LCM(440,405) = ( 440 × 405 ) / 5

LCM(440,405) = 178200 / 5

LCM(440,405) = 35640


Lets's calculate GCF of 78,2412

2 78, 2412
3 39, 1206
13, 402

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35640/6

Therefore the LCM of Fractions 440/78,405/2412 is 5940

Greatest Common Factor of 78,2412 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2412 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 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412

Greatest Common Factor

We found the factors 78,2412 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2412 is 6.


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 440/78, 405/2412

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 440/78, 405/2412?

Answer: LCM of Numerators as per given numbers 440/78, 405/2412 is

LCM of Numerators i.e. for 440,405 is 35640

GCF of denominators i.e. for 78,2412 is 6.

Thus, LCM of Fractions is 5940.Finally, LCM of Fractions for 440/78, 405/2412 is 5940.