Least Common Multiple of 3/413, 32/531, 44/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/413, 32/531, 44/505 quickly i.e. 1056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/413, 32/531, 44/505 is 1056.

LCM(3/413, 32/531, 44/505) = 1056

LCM of 3/413, 32/531, 44/505

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 3/413,32/531,44/505

Given numbers are 3/413,32/531,44/505

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 3,32,44

Least Common Multiple of Numerators i.e. LCM of 3,32,44 is 1056.

GCF of Denominators means GCF of 413,531,505 as per the given fractions.

GCF of 413,531,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,32,44

LCM of Fractions 3/413,32/531,44/505 is 1056

2 3, 32, 44
2 3, 16, 22
3, 8, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 11 = 1056

Least Common Multiple of 3,32,44 with GCF Formula

Least Common Multiple of 3,32,44 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 3,32,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,32,44) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(3,32,44) x common factors =1 x 4 = 4

LCM(3,32,44) = ( 3 × 32 × 44 ) / 4

LCM(3,32,44) = 4224 / 4

LCM(3,32,44) = 1056


Lets's calculate GCF of 413,531,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1056/1

Therefore the LCM of Fractions 3/413,32/531,44/505 is 1056

Greatest Common Factor of 413,531,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,531,505 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 413,531,505 . The biggest common factor number is the GCF number.
So the greatest common factor 413,531,505 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 3/413, 32/531, 44/505

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 3/413, 32/531, 44/505?

Answer: LCM of Numerators as per given numbers 3/413, 32/531, 44/505 is

LCM of Numerators i.e. for 3,32,44 is 1056

GCF of denominators i.e. for 413,531,505 is 1.

Thus, LCM of Fractions is 1056.Finally, LCM of Fractions for 3/413, 32/531, 44/505 is 1056.