What are the Factors of 463765680 ?

Factors of 463765680 are . There are integers that are factors of 463765680.

How to Find the LCM of 228, 501, 501, 720, 406 ?

Least Common Multiple of 228, 501, 501, 720, 406 = 463765680 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(228, 501, 501, 720, 406) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 29 x 167 = 463765680.

What are the Factors of 463765680 ?

Factors of 463765680 are . There are integers that are factors of 463765680.

How to Find the LCM of 228, 501, 501, 720, 406 ?

Least Common Multiple of 228, 501, 501, 720, 406 = 463765680 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(228, 501, 501, 720, 406) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 29 x 167 = 463765680.

LCM of 228, 501, 501, 720, 406

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

Find the LCM of 228, 501, 501, 720, 406 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 228, 501, 501, 720, 406. So, keep reading to learn more.

Calculate the LCM of 228,501,501,720,406

Given numbers are 228,501,501,720,406

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

The LCM of 228,501,501,720,406 is 463765680.

Find LCM of 228,501,501,720,406 with Prime Factorization

2	228, 501, 501, 720, 406
2	114, 501, 501, 360, 203
3	57, 501, 501, 180, 203
167	19, 167, 167, 60, 203
	19, 1, 1, 60, 203

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

2 x 2 x 3 x 167 x 19 x 1 x 1 x 60 x 203 = 463765680

Therefore, the lowest common multiple of 228,501,501,720,406 is 463765680.

LCM Formula to Find Lowest Common Multiple of 228,501,501,720,406

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.

228 x 501 x 501 x 720 x 406 = 16728955608960

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

501 : 1, 3, 167, 501

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,501,501,720,406, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

501:3x 167

720:2x 2x 2x 2x 3x 3x 5

406:2x 7x 29

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 3x 3x 3x 167 = 36072

Therefore, the value for common factors is 36072.

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 = 16728955608960/(1x36072)

LCM = 16728955608960/36072

LCM = 463765680

Thus, we can understand that the LCM of 228,501,501,720,406 is 463765680.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 228, 501, 501, 720, 406

1. What is the LCM of 228, 501, 501, 720, 406?

Answer: LCM of 228, 501, 501, 720, 406 is 463765680.

2. How to calculate the LCM of 228, 501, 501, 720, 406?

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 228, 501, 501, 720, 406.

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}.