Least Common Multiple of 4464/518, 3505/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4464/518, 3505/476 quickly i.e. 15646320/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4464/518, 3505/476 is 15646320/14.

LCM(4464/518, 3505/476) = 15646320/14

LCM of 4464/518, 3505/476

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 4464/518,3505/476

Given numbers are 4464/518,3505/476

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 4464,3505

Least Common Multiple of Numerators i.e. LCM of 4464,3505 is 15646320.

GCF of Denominators means GCF of 518,476 as per the given fractions.

GCF of 518,476 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4464,3505

LCM of Fractions 4464/518,3505/476 is 15646320/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 15646320

Least Common Multiple of 4464,3505 with GCF Formula

Least Common Multiple of 4464,3505 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 4464,3505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4464,3505) = 1

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

GCF(4464,3505) x common factors =1 x 1 = 1

LCM(4464,3505) = ( 4464 × 3505 ) / 1

LCM(4464,3505) = 15646320 / 1

LCM(4464,3505) = 15646320


Lets's calculate GCF of 518,476

2 518, 476
7 259, 238
37, 34

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15646320/14

Therefore the LCM of Fractions 4464/518,3505/476 is 15646320/14

Greatest Common Factor of 518,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,476 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 518,476 . The biggest common factor number is the GCF number.
So the greatest common factor 518,476 is 14.


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 4464/518, 3505/476

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 4464/518, 3505/476?

Answer: LCM of Numerators as per given numbers 4464/518, 3505/476 is

LCM of Numerators i.e. for 4464,3505 is 15646320

GCF of denominators i.e. for 518,476 is 14.

Thus, LCM of Fractions is 15646320/14.Finally, LCM of Fractions for 4464/518, 3505/476 is 15646320/14.