Least Common Multiple of 4365/80, 2333/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4365/80, 2333/272 quickly i.e. 10183545/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4365/80, 2333/272 is 10183545/16.

LCM(4365/80, 2333/272) = 10183545/16

LCM of 4365/80, 2333/272

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 4365/80,2333/272

Given numbers are 4365/80,2333/272

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 4365,2333

Least Common Multiple of Numerators i.e. LCM of 4365,2333 is 10183545.

GCF of Denominators means GCF of 80,272 as per the given fractions.

GCF of 80,272 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4365,2333

LCM of Fractions 4365/80,2333/272 is 10183545/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 10183545

Least Common Multiple of 4365,2333 with GCF Formula

Least Common Multiple of 4365,2333 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 4365,2333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4365,2333) = 1

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

GCF(4365,2333) x common factors =1 x 1 = 1

LCM(4365,2333) = ( 4365 × 2333 ) / 1

LCM(4365,2333) = 10183545 / 1

LCM(4365,2333) = 10183545


Lets's calculate GCF of 80,272

2 80, 272
2 40, 136
2 20, 68
2 10, 34
5, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10183545/16

Therefore the LCM of Fractions 4365/80,2333/272 is 10183545/16

Greatest Common Factor of 80,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,272 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 80,272 . The biggest common factor number is the GCF number.
So the greatest common factor 80,272 is 16.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4365/80, 2333/272

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 4365/80, 2333/272?

Answer: LCM of Numerators as per given numbers 4365/80, 2333/272 is

LCM of Numerators i.e. for 4365,2333 is 10183545

GCF of denominators i.e. for 80,272 is 16.

Thus, LCM of Fractions is 10183545/16.Finally, LCM of Fractions for 4365/80, 2333/272 is 10183545/16.