Least Common Multiple of 72/303, 22/510, 465/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/303, 22/510, 465/450 quickly i.e. 40920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/303, 22/510, 465/450 is 40920.

LCM(72/303, 22/510, 465/450) = 40920

LCM of 72/303, 22/510, 465/450

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 72/303,22/510,465/450

Given numbers are 72/303,22/510,465/450

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 72,22,465

Least Common Multiple of Numerators i.e. LCM of 72,22,465 is 122760.

GCF of Denominators means GCF of 303,510,450 as per the given fractions.

GCF of 303,510,450 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,22,465

LCM of Fractions 72/303,22/510,465/450 is 40920

2 72, 22, 465
3 36, 11, 465
12, 11, 155

∴ So the LCM of the given numbers is 2 x 3 x 12 x 11 x 155 = 122760

Least Common Multiple of 72,22,465 with GCF Formula

Least Common Multiple of 72,22,465 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 72,22,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,22,465) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,22,465) x common factors =1 x 6 = 6

LCM(72,22,465) = ( 72 × 22 × 465 ) / 6

LCM(72,22,465) = 736560 / 6

LCM(72,22,465) = 122760


Lets's calculate GCF of 303,510,450

3 303, 510, 450
101, 170, 150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122760/3

Therefore the LCM of Fractions 72/303,22/510,465/450 is 40920

Greatest Common Factor of 303,510,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,510,450 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

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 303,510,450 . The biggest common factor number is the GCF number.
So the greatest common factor 303,510,450 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 72/303, 22/510, 465/450

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 72/303, 22/510, 465/450?

Answer: LCM of Numerators as per given numbers 72/303, 22/510, 465/450 is

LCM of Numerators i.e. for 72,22,465 is 122760

GCF of denominators i.e. for 303,510,450 is 3.

Thus, LCM of Fractions is 40920.Finally, LCM of Fractions for 72/303, 22/510, 465/450 is 40920.