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LCM of 454, 442, 128, 595, 435

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


Find the LCM of 454, 442, 128, 595, 435 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, 442, 128, 595, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,442,128,595,435

Given numbers are 454,442,128,595,435

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

The LCM of 454,442,128,595,435 is 19553089920.

Find LCM of 454,442,128,595,435 with Prime Factorization


2 454, 442, 128, 595, 435
5 227, 221, 64, 595, 435
17 227, 221, 64, 119, 87
227, 13, 64, 7, 87

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

2 x 5 x 17 x 227 x 13 x 64 x 7 x 87 = 19553089920

Therefore, the lowest common multiple of 454,442,128,595,435 is 19553089920.

LCM Formula to Find Lowest Common Multiple of 454,442,128,595,435

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 442 x 128 x 595 x 435 = 6648050572800

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,442,128,595,435, is 1.

Now, the common factors can be found like this.

454:2x 227

442:2x 13x 17

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

595:5x 7x 17

435:3x 5x 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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 6648050572800/(1x340)

LCM = 6648050572800/340

LCM = 19553089920

Thus, we can understand that the LCM of 454,442,128,595,435 is 19553089920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 442, 128, 595, 435

1. What is the LCM of 454, 442, 128, 595, 435?

Answer: LCM of 454, 442, 128, 595, 435 is 19553089920.

2. How to calculate the LCM of 454, 442, 128, 595, 435?

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, 442, 128, 595, 435.

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}.