What are the Factors of 46464 ?

Factors of 46464 are . There are integers that are factors of 46464.

How to Find the LCM of 132, 363, 128, 704 ?

Least Common Multiple of 132, 363, 128, 704 = 46464 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(132, 363, 128, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 = 46464.

What are the Factors of 46464 ?

Factors of 46464 are . There are integers that are factors of 46464.

How to Find the LCM of 132, 363, 128, 704 ?

Least Common Multiple of 132, 363, 128, 704 = 46464 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(132, 363, 128, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 = 46464.

LCM of 132, 363, 128, 704

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

Find the LCM of 132, 363, 128, 704 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 132, 363, 128, 704. So, keep reading to learn more.

Calculate the LCM of 132,363,128,704

Given numbers are 132,363,128,704

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

The LCM of 132,363,128,704 is 46464.

Find LCM of 132,363,128,704 with Prime Factorization

2	132, 363, 128, 704
2	66, 363, 64, 352
2	33, 363, 32, 176
2	33, 363, 16, 88
2	33, 363, 8, 44
2	33, 363, 4, 22
3	33, 363, 2, 11
11	11, 121, 2, 11
	1, 1, 2, 11

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 1 x 1 x 2 x 11 = 46464

Therefore, the lowest common multiple of 132,363,128,704 is 46464.

LCM Formula to Find Lowest Common Multiple of 132,363,128,704

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.

132 x 363 x 128 x 704 = 4317806592

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

363 : 1, 3, 11, 33, 121, 363

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,363,128,704, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

363:3x 11x 11

128:2x 2x 2x 2x 2x 2x 2

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

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 3x 11x 11 = 92928

Therefore, the value for common factors is 92928.

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 = 4317806592/(1x92928)

LCM = 4317806592/92928

LCM = 46464

Thus, we can understand that the LCM of 132,363,128,704 is 46464.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 132, 363, 128, 704

1. What is the LCM of 132, 363, 128, 704?

Answer: LCM of 132, 363, 128, 704 is 46464.

2. How to calculate the LCM of 132, 363, 128, 704?

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 132, 363, 128, 704.

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}.