What are the Factors of 27456 ?

Factors of 27456 are . There are integers that are factors of 27456.

How to Find the LCM of 312, 704, 704, 143 ?

Least Common Multiple of 312, 704, 704, 143 = 27456 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(312, 704, 704, 143) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 = 27456.

What are the Factors of 27456 ?

Factors of 27456 are . There are integers that are factors of 27456.

How to Find the LCM of 312, 704, 704, 143 ?

Least Common Multiple of 312, 704, 704, 143 = 27456 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(312, 704, 704, 143) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 = 27456.

LCM of 312, 704, 704, 143

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

Find the LCM of 312, 704, 704, 143 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 312, 704, 704, 143. So, keep reading to learn more.

Calculate the LCM of 312,704,704,143

Given numbers are 312,704,704,143

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

The LCM of 312,704,704,143 is 27456.

Find LCM of 312,704,704,143 with Prime Factorization

2	312, 704, 704, 143
2	156, 352, 352, 143
2	78, 176, 176, 143
2	39, 88, 88, 143
2	39, 44, 44, 143
2	39, 22, 22, 143
11	39, 11, 11, 143
13	39, 1, 1, 13
	3, 1, 1, 1

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

2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 x 3 x 1 x 1 x 1 = 27456

Therefore, the lowest common multiple of 312,704,704,143 is 27456.

LCM Formula to Find Lowest Common Multiple of 312,704,704,143

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.

312 x 704 x 704 x 143 = 22112403456

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,704,704,143, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

704:2x 2x 2x 2x 2x 2x 11

143:11x 13

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

2x 2x 2x 2x 2x 2x 2x 2x 2x 11x 11x 13 = 805376

Therefore, the value for common factors is 805376.

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 = 22112403456/(1x805376)

LCM = 22112403456/805376

LCM = 27456

Thus, we can understand that the LCM of 312,704,704,143 is 27456.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 312, 704, 704, 143

1. What is the LCM of 312, 704, 704, 143?

Answer: LCM of 312, 704, 704, 143 is 27456.

2. How to calculate the LCM of 312, 704, 704, 143?

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 312, 704, 704, 143.

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}.