Least Common Multiple of 583/372, 5420/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/372, 5420/672 quickly i.e. 3159860/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/372, 5420/672 is 3159860/12.

LCM(583/372, 5420/672) = 3159860/12

LCM of 583/372, 5420/672

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 583/372,5420/672

Given numbers are 583/372,5420/672

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 583,5420

Least Common Multiple of Numerators i.e. LCM of 583,5420 is 3159860.

GCF of Denominators means GCF of 372,672 as per the given fractions.

GCF of 372,672 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,5420

LCM of Fractions 583/372,5420/672 is 3159860/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 3159860

Least Common Multiple of 583,5420 with GCF Formula

Least Common Multiple of 583,5420 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 583,5420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,5420) = 1

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

GCF(583,5420) x common factors =1 x 1 = 1

LCM(583,5420) = ( 583 × 5420 ) / 1

LCM(583,5420) = 3159860 / 1

LCM(583,5420) = 3159860


Lets's calculate GCF of 372,672

2 372, 672
2 186, 336
3 93, 168
31, 56

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3159860/12

Therefore the LCM of Fractions 583/372,5420/672 is 3159860/12

Greatest Common Factor of 372,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,672 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 372,672 . The biggest common factor number is the GCF number.
So the greatest common factor 372,672 is 12.


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 583/372, 5420/672

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 583/372, 5420/672?

Answer: LCM of Numerators as per given numbers 583/372, 5420/672 is

LCM of Numerators i.e. for 583,5420 is 3159860

GCF of denominators i.e. for 372,672 is 12.

Thus, LCM of Fractions is 3159860/12.Finally, LCM of Fractions for 583/372, 5420/672 is 3159860/12.