Least Common Multiple of 583/374, 990/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 583/374, 990/116 quickly i.e. 26235 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, 990/116 is 26235.

LCM(583/374, 990/116) = 26235

LCM of 583/374, 990/116

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 583/374,990/116

Given numbers are 583/374,990/116

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 583,990

Least Common Multiple of Numerators i.e. LCM of 583,990 is 52470.

GCF of Denominators means GCF of 374,116 as per the given fractions.

GCF of 374,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,990

LCM of Fractions 583/374,990/116 is 26235

11 583, 990
53, 90

∴ So the LCM of the given numbers is 11 x 53 x 90 = 52470

Least Common Multiple of 583,990 with GCF Formula

Least Common Multiple of 583,990 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 583,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,990) = 11

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

GCF(583,990) x common factors =11 x 1 = 11

LCM(583,990) = ( 583 × 990 ) / 11

LCM(583,990) = 577170 / 11

LCM(583,990) = 52470


Lets's calculate GCF of 374,116

2 374, 116
187, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52470/2

Therefore the LCM of Fractions 583/374,990/116 is 26235

Greatest Common Factor of 374,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,116 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 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 374,116 . The biggest common factor number is the GCF number.
So the greatest common factor 374,116 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 583/374, 990/116

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, 990/116?

Answer: LCM of Numerators as per given numbers 583/374, 990/116 is

LCM of Numerators i.e. for 583,990 is 52470

GCF of denominators i.e. for 374,116 is 2.

Thus, LCM of Fractions is 26235.Finally, LCM of Fractions for 583/374, 990/116 is 26235.