Least Common Multiple of 54/75, 151/57, 409/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/75, 151/57, 409/450 quickly i.e. 1111662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/75, 151/57, 409/450 is 1111662.

LCM(54/75, 151/57, 409/450) = 1111662

LCM of 54/75, 151/57, 409/450

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 54/75,151/57,409/450

Given numbers are 54/75,151/57,409/450

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 54,151,409

Least Common Multiple of Numerators i.e. LCM of 54,151,409 is 3334986.

GCF of Denominators means GCF of 75,57,450 as per the given fractions.

GCF of 75,57,450 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,151,409

LCM of Fractions 54/75,151/57,409/450 is 1111662

Given numbers has no common factors except 1. So, there LCM is their product i.e 3334986

Least Common Multiple of 54,151,409 with GCF Formula

Least Common Multiple of 54,151,409 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 54,151,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,151,409) = 1

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

GCF(54,151,409) x common factors =1 x 1 = 1

LCM(54,151,409) = ( 54 × 151 × 409 ) / 1

LCM(54,151,409) = 3334986 / 1

LCM(54,151,409) = 3334986


Lets's calculate GCF of 75,57,450

3 75, 57, 450
25, 19, 150

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3334986/3

Therefore the LCM of Fractions 54/75,151/57,409/450 is 1111662

Greatest Common Factor of 75,57,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,57,450 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 57

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

1,3,19,57

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 75,57,450 . The biggest common factor number is the GCF number.
So the greatest common factor 75,57,450 is 3.


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 54/75, 151/57, 409/450

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 54/75, 151/57, 409/450?

Answer: LCM of Numerators as per given numbers 54/75, 151/57, 409/450 is

LCM of Numerators i.e. for 54,151,409 is 3334986

GCF of denominators i.e. for 75,57,450 is 3.

Thus, LCM of Fractions is 1111662.Finally, LCM of Fractions for 54/75, 151/57, 409/450 is 1111662.