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LCM of 454, 555, 627, 405, 618

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


Find the LCM of 454, 555, 627, 405, 618 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 454, 555, 627, 405, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,555,627,405,618

Given numbers are 454,555,627,405,618

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

The LCM of 454,555,627,405,618 is 146452271130.

Find LCM of 454,555,627,405,618 with Prime Factorization


2 454, 555, 627, 405, 618
3 227, 555, 627, 405, 309
5 227, 185, 209, 135, 103
227, 37, 209, 27, 103

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

2 x 3 x 5 x 227 x 37 x 209 x 27 x 103 = 146452271130

Therefore, the lowest common multiple of 454,555,627,405,618 is 146452271130.

LCM Formula to Find Lowest Common Multiple of 454,555,627,405,618

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.

454 x 555 x 627 x 405 x 618 = 39542113205100

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.

454 : 1, 2, 227, 454

555 : 1, 3, 5, 15, 37, 111, 185, 555

627 : 1, 3, 11, 19, 33, 57, 209, 627

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,555,627,405,618, is 1.

Now, the common factors can be found like this.

454:2x 227

555:3x 5x 37

627:3x 11x 19

405:3x 3x 3x 3x 5

618:2x 3x 103

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 39542113205100/(1x270)

LCM = 39542113205100/270

LCM = 146452271130

Thus, we can understand that the LCM of 454,555,627,405,618 is 146452271130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 555, 627, 405, 618

1. What is the LCM of 454, 555, 627, 405, 618?

Answer: LCM of 454, 555, 627, 405, 618 is 146452271130.

2. How to calculate the LCM of 454, 555, 627, 405, 618?

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 454, 555, 627, 405, 618.

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}.