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LCM of 581, 128, 404, 604, 607

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


Find the LCM of 581, 128, 404, 604, 607 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 581, 128, 404, 604, 607. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 581,128,404,604,607

Given numbers are 581,128,404,604,607

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

The LCM of 581,128,404,604,607 is 688451125376.

Find LCM of 581,128,404,604,607 with Prime Factorization


2 581, 128, 404, 604, 607
2 581, 64, 202, 302, 607
581, 32, 101, 151, 607

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

2 x 2 x 581 x 32 x 101 x 151 x 607 = 688451125376

Therefore, the lowest common multiple of 581,128,404,604,607 is 688451125376.

LCM Formula to Find Lowest Common Multiple of 581,128,404,604,607

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.

581 x 128 x 404 x 604 x 607 = 11015218006016

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.

581 : 1, 7, 83, 581

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

404 : 1, 2, 4, 101, 202, 404

604 : 1, 2, 4, 151, 302, 604

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,128,404,604,607, is 1.

Now, the common factors can be found like this.

581:7x 83

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

404:2x 2x 101

604:2x 2x 151

607:607

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11015218006016/(1x16)

LCM = 11015218006016/16

LCM = 688451125376

Thus, we can understand that the LCM of 581,128,404,604,607 is 688451125376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 581, 128, 404, 604, 607

1. What is the LCM of 581, 128, 404, 604, 607?

Answer: LCM of 581, 128, 404, 604, 607 is 688451125376.

2. How to calculate the LCM of 581, 128, 404, 604, 607?

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 581, 128, 404, 604, 607.

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}.