Least Common Multiple of 459/37, 108/53, 412/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/37, 108/53, 412/57 quickly i.e. 189108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/37, 108/53, 412/57 is 189108.

LCM(459/37, 108/53, 412/57) = 189108

LCM of 459/37, 108/53, 412/57

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 459/37,108/53,412/57

Given numbers are 459/37,108/53,412/57

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 459,108,412

Least Common Multiple of Numerators i.e. LCM of 459,108,412 is 189108.

GCF of Denominators means GCF of 37,53,57 as per the given fractions.

GCF of 37,53,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,108,412

LCM of Fractions 459/37,108/53,412/57 is 189108

2 459, 108, 412
2 459, 54, 206
3 459, 27, 103
3 153, 9, 103
3 51, 3, 103
17, 1, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 17 x 1 x 103 = 189108

Least Common Multiple of 459,108,412 with GCF Formula

Least Common Multiple of 459,108,412 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 459,108,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,108,412) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(459,108,412) x common factors =1 x 108 = 108

LCM(459,108,412) = ( 459 × 108 × 412 ) / 108

LCM(459,108,412) = 20423664 / 108

LCM(459,108,412) = 189108


Lets's calculate GCF of 37,53,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189108/1

Therefore the LCM of Fractions 459/37,108/53,412/57 is 189108

Greatest Common Factor of 37,53,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,53,57 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 37,53,57 . The biggest common factor number is the GCF number.
So the greatest common factor 37,53,57 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 459/37, 108/53, 412/57

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 459/37, 108/53, 412/57?

Answer: LCM of Numerators as per given numbers 459/37, 108/53, 412/57 is

LCM of Numerators i.e. for 459,108,412 is 189108

GCF of denominators i.e. for 37,53,57 is 1.

Thus, LCM of Fractions is 189108.Finally, LCM of Fractions for 459/37, 108/53, 412/57 is 189108.