Least Common Multiple of 645/72, 483/69, 150/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/72, 483/69, 150/96 quickly i.e. 346150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/72, 483/69, 150/96 is 346150.

LCM(645/72, 483/69, 150/96) = 346150

LCM of 645/72, 483/69, 150/96

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 645/72,483/69,150/96

Given numbers are 645/72,483/69,150/96

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 645,483,150

Least Common Multiple of Numerators i.e. LCM of 645,483,150 is 1038450.

GCF of Denominators means GCF of 72,69,96 as per the given fractions.

GCF of 72,69,96 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,483,150

LCM of Fractions 645/72,483/69,150/96 is 346150

3 645, 483, 150
5 215, 161, 50
43, 161, 10

∴ So the LCM of the given numbers is 3 x 5 x 43 x 161 x 10 = 1038450

Least Common Multiple of 645,483,150 with GCF Formula

Least Common Multiple of 645,483,150 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 645,483,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,483,150) = 3

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

GCF(645,483,150) x common factors =3 x 15 = 45

LCM(645,483,150) = ( 645 × 483 × 150 ) / 45

LCM(645,483,150) = 46730250 / 45

LCM(645,483,150) = 1038450


Lets's calculate GCF of 72,69,96

3 72, 69, 96
24, 23, 32

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1038450/3

Therefore the LCM of Fractions 645/72,483/69,150/96 is 346150

Greatest Common Factor of 72,69,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,69,96 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 72,69,96 . The biggest common factor number is the GCF number.
So the greatest common factor 72,69,96 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 645/72, 483/69, 150/96

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 645/72, 483/69, 150/96?

Answer: LCM of Numerators as per given numbers 645/72, 483/69, 150/96 is

LCM of Numerators i.e. for 645,483,150 is 1038450

GCF of denominators i.e. for 72,69,96 is 3.

Thus, LCM of Fractions is 346150.Finally, LCM of Fractions for 645/72, 483/69, 150/96 is 346150.