Least Common Multiple of 75/450, 435/801, 332/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/450, 435/801, 332/603 quickly i.e. 722100/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/450, 435/801, 332/603 is 722100/9.

LCM(75/450, 435/801, 332/603) = 722100/9

LCM of 75/450, 435/801, 332/603

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 75/450,435/801,332/603

Given numbers are 75/450,435/801,332/603

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 75,435,332

Least Common Multiple of Numerators i.e. LCM of 75,435,332 is 722100.

GCF of Denominators means GCF of 450,801,603 as per the given fractions.

GCF of 450,801,603 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,435,332

LCM of Fractions 75/450,435/801,332/603 is 722100/9

3 75, 435, 332
5 25, 145, 332
5, 29, 332

∴ So the LCM of the given numbers is 3 x 5 x 5 x 29 x 332 = 722100

Least Common Multiple of 75,435,332 with GCF Formula

Least Common Multiple of 75,435,332 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 75,435,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,435,332) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,435,332) x common factors =1 x 15 = 15

LCM(75,435,332) = ( 75 × 435 × 332 ) / 15

LCM(75,435,332) = 10831500 / 15

LCM(75,435,332) = 722100


Lets's calculate GCF of 450,801,603

3 450, 801, 603
3 150, 267, 201
50, 89, 67

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 722100/9

Therefore the LCM of Fractions 75/450,435/801,332/603 is 722100/9

Greatest Common Factor of 450,801,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,801,603 By Matching Biggest Common Factor Method

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

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 450,801,603 . The biggest common factor number is the GCF number.
So the greatest common factor 450,801,603 is 9.


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 75/450, 435/801, 332/603

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 75/450, 435/801, 332/603?

Answer: LCM of Numerators as per given numbers 75/450, 435/801, 332/603 is

LCM of Numerators i.e. for 75,435,332 is 722100

GCF of denominators i.e. for 450,801,603 is 9.

Thus, LCM of Fractions is 722100/9.Finally, LCM of Fractions for 75/450, 435/801, 332/603 is 722100/9.