Least Common Multiple of 592/46, 365/5322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/46, 365/5322 quickly i.e. 108040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/46, 365/5322 is 108040.

LCM(592/46, 365/5322) = 108040

LCM of 592/46, 365/5322

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 592/46,365/5322

Given numbers are 592/46,365/5322

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 592,365

Least Common Multiple of Numerators i.e. LCM of 592,365 is 216080.

GCF of Denominators means GCF of 46,5322 as per the given fractions.

GCF of 46,5322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,365

LCM of Fractions 592/46,365/5322 is 108040

Given numbers has no common factors except 1. So, there LCM is their product i.e 216080

Least Common Multiple of 592,365 with GCF Formula

Least Common Multiple of 592,365 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 592,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,365) = 1

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

GCF(592,365) x common factors =1 x 1 = 1

LCM(592,365) = ( 592 × 365 ) / 1

LCM(592,365) = 216080 / 1

LCM(592,365) = 216080


Lets's calculate GCF of 46,5322

2 46, 5322
23, 2661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216080/2

Therefore the LCM of Fractions 592/46,365/5322 is 108040

Greatest Common Factor of 46,5322 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,5322 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Greatest Common Factor

We found the factors 46,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 46,5322 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 592/46, 365/5322

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 592/46, 365/5322?

Answer: LCM of Numerators as per given numbers 592/46, 365/5322 is

LCM of Numerators i.e. for 592,365 is 216080

GCF of denominators i.e. for 46,5322 is 2.

Thus, LCM of Fractions is 108040.Finally, LCM of Fractions for 592/46, 365/5322 is 108040.