Least Common Multiple of 5082/609, 4576/3388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5082/609, 4576/3388 quickly i.e. 151008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5082/609, 4576/3388 is 151008.

LCM(5082/609, 4576/3388) = 151008

LCM of 5082/609, 4576/3388

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 5082/609,4576/3388

Given numbers are 5082/609,4576/3388

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 5082,4576

Least Common Multiple of Numerators i.e. LCM of 5082,4576 is 1057056.

GCF of Denominators means GCF of 609,3388 as per the given fractions.

GCF of 609,3388 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5082,4576

LCM of Fractions 5082/609,4576/3388 is 151008

2 5082, 4576
11 2541, 2288
231, 208

∴ So the LCM of the given numbers is 2 x 11 x 231 x 208 = 1057056

Least Common Multiple of 5082,4576 with GCF Formula

Least Common Multiple of 5082,4576 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 5082,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5082,4576) = 22

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

GCF(5082,4576) x common factors =22 x 1 = 22

LCM(5082,4576) = ( 5082 × 4576 ) / 22

LCM(5082,4576) = 23255232 / 22

LCM(5082,4576) = 1057056


Lets's calculate GCF of 609,3388

7 609, 3388
87, 484

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1057056/7

Therefore the LCM of Fractions 5082/609,4576/3388 is 151008

Greatest Common Factor of 609,3388 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,3388 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 3388

List of positive integer factors of 3388 that divides 3388 without a remainder.

1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388

Greatest Common Factor

We found the factors 609,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 609,3388 is 7.


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 5082/609, 4576/3388

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 5082/609, 4576/3388?

Answer: LCM of Numerators as per given numbers 5082/609, 4576/3388 is

LCM of Numerators i.e. for 5082,4576 is 1057056

GCF of denominators i.e. for 609,3388 is 7.

Thus, LCM of Fractions is 151008.Finally, LCM of Fractions for 5082/609, 4576/3388 is 151008.