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LCM of 453, 385, 448, 855

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


Find the LCM of 453, 385, 448, 855 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 453, 385, 448, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,385,448,855

Given numbers are 453,385,448,855

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

The LCM of 453,385,448,855 is 636229440.

Find LCM of 453,385,448,855 with Prime Factorization


3 453, 385, 448, 855
5 151, 385, 448, 285
7 151, 77, 448, 57
151, 11, 64, 57

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

3 x 5 x 7 x 151 x 11 x 64 x 57 = 636229440

Therefore, the lowest common multiple of 453,385,448,855 is 636229440.

LCM Formula to Find Lowest Common Multiple of 453,385,448,855

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.

453 x 385 x 448 x 855 = 66804091200

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.

453 : 1, 3, 151, 453

385 : 1, 5, 7, 11, 35, 55, 77, 385

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,385,448,855, is 1.

Now, the common factors can be found like this.

453:3x 151

385:5x 7x 11

448:2x 2x 2x 2x 2x 2x 7

855:3x 3x 5x 19

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

3x 5x 7 = 105

Therefore, the value for common factors is 105.

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 = 66804091200/(1x105)

LCM = 66804091200/105

LCM = 636229440

Thus, we can understand that the LCM of 453,385,448,855 is 636229440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 385, 448, 855

1. What is the LCM of 453, 385, 448, 855?

Answer: LCM of 453, 385, 448, 855 is 636229440.

2. How to calculate the LCM of 453, 385, 448, 855?

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 453, 385, 448, 855.

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}.