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LCM of 808, 222, 657, 730

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


Find the LCM of 808, 222, 657, 730 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 808, 222, 657, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,222,657,730

Given numbers are 808,222,657,730

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

The LCM of 808,222,657,730 is 98208360.

Find LCM of 808,222,657,730 with Prime Factorization


2 808, 222, 657, 730
3 404, 111, 657, 365
73 404, 37, 219, 365
404, 37, 3, 5

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

2 x 3 x 73 x 404 x 37 x 3 x 5 = 98208360

Therefore, the lowest common multiple of 808,222,657,730 is 98208360.

LCM Formula to Find Lowest Common Multiple of 808,222,657,730

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.

808 x 222 x 657 x 730 = 86030523360

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

222 : 1, 2, 3, 6, 37, 74, 111, 222

657 : 1, 3, 9, 73, 219, 657

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,222,657,730, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

222:2x 3x 37

657:3x 3x 73

730:2x 5x 73

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 3x 73 = 876

Therefore, the value for common factors is 876.

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 = 86030523360/(1x876)

LCM = 86030523360/876

LCM = 98208360

Thus, we can understand that the LCM of 808,222,657,730 is 98208360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 222, 657, 730

1. What is the LCM of 808, 222, 657, 730?

Answer: LCM of 808, 222, 657, 730 is 98208360.

2. How to calculate the LCM of 808, 222, 657, 730?

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 808, 222, 657, 730.

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}.