Least Common Multiple of 184/80, 269/23, 737/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 184/80, 269/23, 737/284 quickly i.e. 36478552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/80, 269/23, 737/284 is 36478552.

LCM(184/80, 269/23, 737/284) = 36478552

LCM of 184/80, 269/23, 737/284

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 184/80,269/23,737/284

Given numbers are 184/80,269/23,737/284

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 184,269,737

Least Common Multiple of Numerators i.e. LCM of 184,269,737 is 36478552.

GCF of Denominators means GCF of 80,23,284 as per the given fractions.

GCF of 80,23,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,269,737

LCM of Fractions 184/80,269/23,737/284 is 36478552

Given numbers has no common factors except 1. So, there LCM is their product i.e 36478552

Least Common Multiple of 184,269,737 with GCF Formula

Least Common Multiple of 184,269,737 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 184,269,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,269,737) = 1

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

GCF(184,269,737) x common factors =1 x 1 = 1

LCM(184,269,737) = ( 184 × 269 × 737 ) / 1

LCM(184,269,737) = 36478552 / 1

LCM(184,269,737) = 36478552


Lets's calculate GCF of 80,23,284

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36478552/1

Therefore the LCM of Fractions 184/80,269/23,737/284 is 36478552

Greatest Common Factor of 80,23,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,23,284 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 80,23,284 . The biggest common factor number is the GCF number.
So the greatest common factor 80,23,284 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 184/80, 269/23, 737/284

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 184/80, 269/23, 737/284?

Answer: LCM of Numerators as per given numbers 184/80, 269/23, 737/284 is

LCM of Numerators i.e. for 184,269,737 is 36478552

GCF of denominators i.e. for 80,23,284 is 1.

Thus, LCM of Fractions is 36478552.Finally, LCM of Fractions for 184/80, 269/23, 737/284 is 36478552.