Least Common Multiple of 583/374, 8633/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/374, 8633/214 quickly i.e. 5033039/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/374, 8633/214 is 5033039/2.

LCM(583/374, 8633/214) = 5033039/2

LCM of 583/374, 8633/214

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 583/374,8633/214

Given numbers are 583/374,8633/214

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 583,8633

Least Common Multiple of Numerators i.e. LCM of 583,8633 is 5033039.

GCF of Denominators means GCF of 374,214 as per the given fractions.

GCF of 374,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,8633

LCM of Fractions 583/374,8633/214 is 5033039/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5033039

Least Common Multiple of 583,8633 with GCF Formula

Least Common Multiple of 583,8633 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 583,8633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,8633) = 1

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

GCF(583,8633) x common factors =1 x 1 = 1

LCM(583,8633) = ( 583 × 8633 ) / 1

LCM(583,8633) = 5033039 / 1

LCM(583,8633) = 5033039


Lets's calculate GCF of 374,214

2 374, 214
187, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5033039/2

Therefore the LCM of Fractions 583/374,8633/214 is 5033039/2

Greatest Common Factor of 374,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,214 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 374,214 . The biggest common factor number is the GCF number.
So the greatest common factor 374,214 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 583/374, 8633/214

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 583/374, 8633/214?

Answer: LCM of Numerators as per given numbers 583/374, 8633/214 is

LCM of Numerators i.e. for 583,8633 is 5033039

GCF of denominators i.e. for 374,214 is 2.

Thus, LCM of Fractions is 5033039/2.Finally, LCM of Fractions for 583/374, 8633/214 is 5033039/2.