Least Common Multiple of 3328/406, 5024/8666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3328/406, 5024/8666 quickly i.e. 522496/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3328/406, 5024/8666 is 522496/14.

LCM(3328/406, 5024/8666) = 522496/14

LCM of 3328/406, 5024/8666

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 3328/406,5024/8666

Given numbers are 3328/406,5024/8666

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 3328,5024

Least Common Multiple of Numerators i.e. LCM of 3328,5024 is 522496.

GCF of Denominators means GCF of 406,8666 as per the given fractions.

GCF of 406,8666 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3328,5024

LCM of Fractions 3328/406,5024/8666 is 522496/14

2 3328, 5024
2 1664, 2512
2 832, 1256
2 416, 628
2 208, 314
104, 157

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 104 x 157 = 522496

Least Common Multiple of 3328,5024 with GCF Formula

Least Common Multiple of 3328,5024 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 3328,5024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3328,5024) = 32

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

GCF(3328,5024) x common factors =32 x 1 = 32

LCM(3328,5024) = ( 3328 × 5024 ) / 32

LCM(3328,5024) = 16719872 / 32

LCM(3328,5024) = 522496


Lets's calculate GCF of 406,8666

2 406, 8666
7 203, 4333
29, 619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522496/14

Therefore the LCM of Fractions 3328/406,5024/8666 is 522496/14

Greatest Common Factor of 406,8666 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,8666 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 8666

List of positive integer factors of 8666 that divides 8666 without a remainder.

1,2,7,14,619,1238,4333,8666

Greatest Common Factor

We found the factors 406,8666 . The biggest common factor number is the GCF number.
So the greatest common factor 406,8666 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 3328/406, 5024/8666

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 3328/406, 5024/8666?

Answer: LCM of Numerators as per given numbers 3328/406, 5024/8666 is

LCM of Numerators i.e. for 3328,5024 is 522496

GCF of denominators i.e. for 406,8666 is 14.

Thus, LCM of Fractions is 522496/14.Finally, LCM of Fractions for 3328/406, 5024/8666 is 522496/14.