Least Common Multiple of 493/12, 374/5733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/12, 374/5733 quickly i.e. 10846/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/12, 374/5733 is 10846/3.

LCM(493/12, 374/5733) = 10846/3

LCM of 493/12, 374/5733

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 493/12,374/5733

Given numbers are 493/12,374/5733

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 493,374

Least Common Multiple of Numerators i.e. LCM of 493,374 is 10846.

GCF of Denominators means GCF of 12,5733 as per the given fractions.

GCF of 12,5733 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,374

LCM of Fractions 493/12,374/5733 is 10846/3

17 493, 374
29, 22

∴ So the LCM of the given numbers is 17 x 29 x 22 = 10846

Least Common Multiple of 493,374 with GCF Formula

Least Common Multiple of 493,374 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 493,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,374) = 17

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

GCF(493,374) x common factors =17 x 1 = 17

LCM(493,374) = ( 493 × 374 ) / 17

LCM(493,374) = 184382 / 17

LCM(493,374) = 10846


Lets's calculate GCF of 12,5733

3 12, 5733
4, 1911

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10846/3

Therefore the LCM of Fractions 493/12,374/5733 is 10846/3

Greatest Common Factor of 12,5733 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,5733 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733

Greatest Common Factor

We found the factors 12,5733 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5733 is 3.


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 493/12, 374/5733

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 493/12, 374/5733?

Answer: LCM of Numerators as per given numbers 493/12, 374/5733 is

LCM of Numerators i.e. for 493,374 is 10846

GCF of denominators i.e. for 12,5733 is 3.

Thus, LCM of Fractions is 10846/3.Finally, LCM of Fractions for 493/12, 374/5733 is 10846/3.