Least Common Multiple of 3557/184, 4514/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3557/184, 4514/432 quickly i.e. 16056298/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3557/184, 4514/432 is 16056298/8.

LCM(3557/184, 4514/432) = 16056298/8

LCM of 3557/184, 4514/432

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 3557/184,4514/432

Given numbers are 3557/184,4514/432

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 3557,4514

Least Common Multiple of Numerators i.e. LCM of 3557,4514 is 16056298.

GCF of Denominators means GCF of 184,432 as per the given fractions.

GCF of 184,432 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3557,4514

LCM of Fractions 3557/184,4514/432 is 16056298/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 16056298

Least Common Multiple of 3557,4514 with GCF Formula

Least Common Multiple of 3557,4514 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 3557,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3557,4514) = 1

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

GCF(3557,4514) x common factors =1 x 1 = 1

LCM(3557,4514) = ( 3557 × 4514 ) / 1

LCM(3557,4514) = 16056298 / 1

LCM(3557,4514) = 16056298


Lets's calculate GCF of 184,432

2 184, 432
2 92, 216
2 46, 108
23, 54

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16056298/8

Therefore the LCM of Fractions 3557/184,4514/432 is 16056298/8

Greatest Common Factor of 184,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,432 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 184,432 . The biggest common factor number is the GCF number.
So the greatest common factor 184,432 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3557/184, 4514/432

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 3557/184, 4514/432?

Answer: LCM of Numerators as per given numbers 3557/184, 4514/432 is

LCM of Numerators i.e. for 3557,4514 is 16056298

GCF of denominators i.e. for 184,432 is 8.

Thus, LCM of Fractions is 16056298/8.Finally, LCM of Fractions for 3557/184, 4514/432 is 16056298/8.