What are the Factors of 7241380272 ?

Factors of 7241380272 are . There are integers that are factors of 7241380272.

How to Find the LCM of 217, 464, 131, 393, 549 ?

Least Common Multiple of 217, 464, 131, 393, 549 = 7241380272 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(217, 464, 131, 393, 549) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 29 x 31 x 61 x 131 = 7241380272.

What are the Factors of 7241380272 ?

Factors of 7241380272 are . There are integers that are factors of 7241380272.

How to Find the LCM of 217, 464, 131, 393, 549 ?

Least Common Multiple of 217, 464, 131, 393, 549 = 7241380272 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(217, 464, 131, 393, 549) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 29 x 31 x 61 x 131 = 7241380272.

LCM of 217, 464, 131, 393, 549

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

Find the LCM of 217, 464, 131, 393, 549 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 217, 464, 131, 393, 549. So, keep reading to learn more.

Calculate the LCM of 217,464,131,393,549

Given numbers are 217,464,131,393,549

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

The LCM of 217,464,131,393,549 is 7241380272.

Find LCM of 217,464,131,393,549 with Prime Factorization

3	217, 464, 131, 393, 549
131	217, 464, 131, 131, 183
	217, 464, 1, 1, 183

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

3 x 131 x 217 x 464 x 1 x 1 x 183 = 7241380272

Therefore, the lowest common multiple of 217,464,131,393,549 is 7241380272.

LCM Formula to Find Lowest Common Multiple of 217,464,131,393,549

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.

217 x 464 x 131 x 393 x 549 = 2845862446896

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.

217 : 1, 7, 31, 217

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

131 : 1, 131

393 : 1, 3, 131, 393

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,464,131,393,549, is 1.

Now, the common factors can be found like this.

217:7x 31

464:2x 2x 2x 2x 29

131:131

393:3x 131

549:3x 3x 61

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

3x 131 = 393

Therefore, the value for common factors is 393.

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 = 2845862446896/(1x393)

LCM = 2845862446896/393

LCM = 7241380272

Thus, we can understand that the LCM of 217,464,131,393,549 is 7241380272.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 217, 464, 131, 393, 549

1. What is the LCM of 217, 464, 131, 393, 549?

Answer: LCM of 217, 464, 131, 393, 549 is 7241380272.

2. How to calculate the LCM of 217, 464, 131, 393, 549?

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 217, 464, 131, 393, 549.

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}.