Least Common Multiple of 1683/590, 8058/1994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1683/590, 8058/1994 quickly i.e. 132957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1683/590, 8058/1994 is 132957.

LCM(1683/590, 8058/1994) = 132957

LCM of 1683/590, 8058/1994

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 1683/590,8058/1994

Given numbers are 1683/590,8058/1994

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 1683,8058

Least Common Multiple of Numerators i.e. LCM of 1683,8058 is 265914.

GCF of Denominators means GCF of 590,1994 as per the given fractions.

GCF of 590,1994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1683,8058

LCM of Fractions 1683/590,8058/1994 is 132957

3 1683, 8058
17 561, 2686
33, 158

∴ So the LCM of the given numbers is 3 x 17 x 33 x 158 = 265914

Least Common Multiple of 1683,8058 with GCF Formula

Least Common Multiple of 1683,8058 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 1683,8058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1683,8058) = 51

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

GCF(1683,8058) x common factors =51 x 1 = 51

LCM(1683,8058) = ( 1683 × 8058 ) / 51

LCM(1683,8058) = 13561614 / 51

LCM(1683,8058) = 265914


Lets's calculate GCF of 590,1994

2 590, 1994
295, 997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265914/2

Therefore the LCM of Fractions 1683/590,8058/1994 is 132957

Greatest Common Factor of 590,1994 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,1994 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 1994

List of positive integer factors of 1994 that divides 1994 without a remainder.

1,2,997,1994

Greatest Common Factor

We found the factors 590,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 590,1994 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 1683/590, 8058/1994

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 1683/590, 8058/1994?

Answer: LCM of Numerators as per given numbers 1683/590, 8058/1994 is

LCM of Numerators i.e. for 1683,8058 is 265914

GCF of denominators i.e. for 590,1994 is 2.

Thus, LCM of Fractions is 132957.Finally, LCM of Fractions for 1683/590, 8058/1994 is 132957.