What are the Factors of 3461641920 ?

Factors of 3461641920 are . There are integers that are factors of 3461641920.

How to Find the LCM of 729, 320, 418, 142 ?

Least Common Multiple of 729, 320, 418, 142 = 3461641920 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(729, 320, 418, 142) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 19 x 71 = 3461641920.

What are the Factors of 3461641920 ?

Factors of 3461641920 are . There are integers that are factors of 3461641920.

How to Find the LCM of 729, 320, 418, 142 ?

Least Common Multiple of 729, 320, 418, 142 = 3461641920 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(729, 320, 418, 142) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 19 x 71 = 3461641920.

LCM of 729, 320, 418, 142

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 729, 320, 418, 142 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 729, 320, 418, 142. So, keep reading to learn more.

Calculate the LCM of 729,320,418,142

Given numbers are 729,320,418,142

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 729,320,418,142 is 3461641920.

Find LCM of 729,320,418,142 with Prime Factorization

2	729, 320, 418, 142
	729, 160, 209, 71

Multiply the prime numbers at the bottom and the left side.

2 x 729 x 160 x 209 x 71 = 3461641920

Therefore, the lowest common multiple of 729,320,418,142 is 3461641920.

LCM Formula to Find Lowest Common Multiple of 729,320,418,142

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

729 x 320 x 418 x 142 = 13846567680

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

729 : 1, 3, 9, 27, 81, 243, 729

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

418 : 1, 2, 11, 19, 22, 38, 209, 418

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,320,418,142, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

320:2x 2x 2x 2x 2x 2x 5

418:2x 11x 19

142:2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 13846567680/(1x4)

LCM = 13846567680/4

LCM = 3461641920

Thus, we can understand that the LCM of 729,320,418,142 is 3461641920.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 729, 320, 418, 142

1. What is the LCM of 729, 320, 418, 142?

Answer: LCM of 729, 320, 418, 142 is 3461641920.

2. How to calculate the LCM of 729, 320, 418, 142?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 729, 320, 418, 142.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.