Least Common Multiple of 11/432, 311/542, 474/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/432, 311/542, 474/412 quickly i.e. 810777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/432, 311/542, 474/412 is 810777.

LCM(11/432, 311/542, 474/412) = 810777

LCM of 11/432, 311/542, 474/412

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 11/432,311/542,474/412

Given numbers are 11/432,311/542,474/412

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 11,311,474

Least Common Multiple of Numerators i.e. LCM of 11,311,474 is 1621554.

GCF of Denominators means GCF of 432,542,412 as per the given fractions.

GCF of 432,542,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,311,474

LCM of Fractions 11/432,311/542,474/412 is 810777

Given numbers has no common factors except 1. So, there LCM is their product i.e 1621554

Least Common Multiple of 11,311,474 with GCF Formula

Least Common Multiple of 11,311,474 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 11,311,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,311,474) = 1

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

GCF(11,311,474) x common factors =1 x 1 = 1

LCM(11,311,474) = ( 11 × 311 × 474 ) / 1

LCM(11,311,474) = 1621554 / 1

LCM(11,311,474) = 1621554


Lets's calculate GCF of 432,542,412

2 432, 542, 412
216, 271, 206

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1621554/2

Therefore the LCM of Fractions 11/432,311/542,474/412 is 810777

Greatest Common Factor of 432,542,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,542,412 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 432,542,412 . The biggest common factor number is the GCF number.
So the greatest common factor 432,542,412 is 2.


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 11/432, 311/542, 474/412

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 11/432, 311/542, 474/412?

Answer: LCM of Numerators as per given numbers 11/432, 311/542, 474/412 is

LCM of Numerators i.e. for 11,311,474 is 1621554

GCF of denominators i.e. for 432,542,412 is 2.

Thus, LCM of Fractions is 810777.Finally, LCM of Fractions for 11/432, 311/542, 474/412 is 810777.