Least Common Multiple of 4575/336, 4336/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4575/336, 4336/584 quickly i.e. 2479650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4575/336, 4336/584 is 2479650.

LCM(4575/336, 4336/584) = 2479650

LCM of 4575/336, 4336/584

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 4575/336,4336/584

Given numbers are 4575/336,4336/584

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 4575,4336

Least Common Multiple of Numerators i.e. LCM of 4575,4336 is 19837200.

GCF of Denominators means GCF of 336,584 as per the given fractions.

GCF of 336,584 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4575,4336

LCM of Fractions 4575/336,4336/584 is 2479650

Given numbers has no common factors except 1. So, there LCM is their product i.e 19837200

Least Common Multiple of 4575,4336 with GCF Formula

Least Common Multiple of 4575,4336 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 4575,4336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4575,4336) = 1

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

GCF(4575,4336) x common factors =1 x 1 = 1

LCM(4575,4336) = ( 4575 × 4336 ) / 1

LCM(4575,4336) = 19837200 / 1

LCM(4575,4336) = 19837200


Lets's calculate GCF of 336,584

2 336, 584
2 168, 292
2 84, 146
42, 73

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19837200/8

Therefore the LCM of Fractions 4575/336,4336/584 is 2479650

Greatest Common Factor of 336,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,584 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

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

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 336,584 . The biggest common factor number is the GCF number.
So the greatest common factor 336,584 is 8.


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 4575/336, 4336/584

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 4575/336, 4336/584?

Answer: LCM of Numerators as per given numbers 4575/336, 4336/584 is

LCM of Numerators i.e. for 4575,4336 is 19837200

GCF of denominators i.e. for 336,584 is 8.

Thus, LCM of Fractions is 2479650.Finally, LCM of Fractions for 4575/336, 4336/584 is 2479650.