Least Common Multiple of 72/483, 74/465, 995/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/483, 74/465, 995/198 quickly i.e. 883560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/483, 74/465, 995/198 is 883560.

LCM(72/483, 74/465, 995/198) = 883560

LCM of 72/483, 74/465, 995/198

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 72/483,74/465,995/198

Given numbers are 72/483,74/465,995/198

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 72,74,995

Least Common Multiple of Numerators i.e. LCM of 72,74,995 is 2650680.

GCF of Denominators means GCF of 483,465,198 as per the given fractions.

GCF of 483,465,198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,74,995

LCM of Fractions 72/483,74/465,995/198 is 883560

2 72, 74, 995
36, 37, 995

∴ So the LCM of the given numbers is 2 x 36 x 37 x 995 = 2650680

Least Common Multiple of 72,74,995 with GCF Formula

Least Common Multiple of 72,74,995 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 72,74,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,74,995) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,74,995) x common factors =1 x 2 = 2

LCM(72,74,995) = ( 72 × 74 × 995 ) / 2

LCM(72,74,995) = 5301360 / 2

LCM(72,74,995) = 2650680


Lets's calculate GCF of 483,465,198

3 483, 465, 198
161, 155, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2650680/3

Therefore the LCM of Fractions 72/483,74/465,995/198 is 883560

Greatest Common Factor of 483,465,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,465,198 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 483,465,198 . The biggest common factor number is the GCF number.
So the greatest common factor 483,465,198 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 72/483, 74/465, 995/198

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 72/483, 74/465, 995/198?

Answer: LCM of Numerators as per given numbers 72/483, 74/465, 995/198 is

LCM of Numerators i.e. for 72,74,995 is 2650680

GCF of denominators i.e. for 483,465,198 is 3.

Thus, LCM of Fractions is 883560.Finally, LCM of Fractions for 72/483, 74/465, 995/198 is 883560.