Least Common Multiple of 4784/493, 5604/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4784/493, 5604/629 quickly i.e. 6702384/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4784/493, 5604/629 is 6702384/17.

LCM(4784/493, 5604/629) = 6702384/17

LCM of 4784/493, 5604/629

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 4784/493,5604/629

Given numbers are 4784/493,5604/629

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 4784,5604

Least Common Multiple of Numerators i.e. LCM of 4784,5604 is 6702384.

GCF of Denominators means GCF of 493,629 as per the given fractions.

GCF of 493,629 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4784,5604

LCM of Fractions 4784/493,5604/629 is 6702384/17

2 4784, 5604
2 2392, 2802
1196, 1401

∴ So the LCM of the given numbers is 2 x 2 x 1196 x 1401 = 6702384

Least Common Multiple of 4784,5604 with GCF Formula

Least Common Multiple of 4784,5604 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 4784,5604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4784,5604) = 4

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

GCF(4784,5604) x common factors =4 x 1 = 4

LCM(4784,5604) = ( 4784 × 5604 ) / 4

LCM(4784,5604) = 26809536 / 4

LCM(4784,5604) = 6702384


Lets's calculate GCF of 493,629

17 493, 629
29, 37

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6702384/17

Therefore the LCM of Fractions 4784/493,5604/629 is 6702384/17

Greatest Common Factor of 493,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,629 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 493,629 . The biggest common factor number is the GCF number.
So the greatest common factor 493,629 is 17.


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 4784/493, 5604/629

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 4784/493, 5604/629?

Answer: LCM of Numerators as per given numbers 4784/493, 5604/629 is

LCM of Numerators i.e. for 4784,5604 is 6702384

GCF of denominators i.e. for 493,629 is 17.

Thus, LCM of Fractions is 6702384/17.Finally, LCM of Fractions for 4784/493, 5604/629 is 6702384/17.