Least Common Multiple of 362/72, 509/96, 233/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/72, 509/96, 233/574 quickly i.e. 21466057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/72, 509/96, 233/574 is 21466057.

LCM(362/72, 509/96, 233/574) = 21466057

LCM of 362/72, 509/96, 233/574

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 362/72,509/96,233/574

Given numbers are 362/72,509/96,233/574

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 362,509,233

Least Common Multiple of Numerators i.e. LCM of 362,509,233 is 42932114.

GCF of Denominators means GCF of 72,96,574 as per the given fractions.

GCF of 72,96,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,509,233

LCM of Fractions 362/72,509/96,233/574 is 21466057

Given numbers has no common factors except 1. So, there LCM is their product i.e 42932114

Least Common Multiple of 362,509,233 with GCF Formula

Least Common Multiple of 362,509,233 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 362,509,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,509,233) = 1

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

GCF(362,509,233) x common factors =1 x 1 = 1

LCM(362,509,233) = ( 362 × 509 × 233 ) / 1

LCM(362,509,233) = 42932114 / 1

LCM(362,509,233) = 42932114


Lets's calculate GCF of 72,96,574

2 72, 96, 574
36, 48, 287

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42932114/2

Therefore the LCM of Fractions 362/72,509/96,233/574 is 21466057

Greatest Common Factor of 72,96,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,96,574 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 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

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 72,96,574 . The biggest common factor number is the GCF number.
So the greatest common factor 72,96,574 is 2.


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 362/72, 509/96, 233/574

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 362/72, 509/96, 233/574?

Answer: LCM of Numerators as per given numbers 362/72, 509/96, 233/574 is

LCM of Numerators i.e. for 362,509,233 is 42932114

GCF of denominators i.e. for 72,96,574 is 2.

Thus, LCM of Fractions is 21466057.Finally, LCM of Fractions for 362/72, 509/96, 233/574 is 21466057.