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LCM of 640, 535, 535, 478

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


Find the LCM of 640, 535, 535, 478 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 640, 535, 535, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 640,535,535,478

Given numbers are 640,535,535,478

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

The LCM of 640,535,535,478 is 16366720.

Find LCM of 640,535,535,478 with Prime Factorization


2 640, 535, 535, 478
5 320, 535, 535, 239
107 64, 107, 107, 239
64, 1, 1, 239

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

2 x 5 x 107 x 64 x 1 x 1 x 239 = 16366720

Therefore, the lowest common multiple of 640,535,535,478 is 16366720.

LCM Formula to Find Lowest Common Multiple of 640,535,535,478

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.

640 x 535 x 535 x 478 = 87561952000

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.

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

535 : 1, 5, 107, 535

535 : 1, 5, 107, 535

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,535,535,478, is 1.

Now, the common factors can be found like this.

640:2x 2x 2x 2x 2x 2x 2x 5

535:5x 107

535:5x 107

478:2x 239

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

2x 5x 5x 107 = 5350

Therefore, the value for common factors is 5350.

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 = 87561952000/(1x5350)

LCM = 87561952000/5350

LCM = 16366720

Thus, we can understand that the LCM of 640,535,535,478 is 16366720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 640, 535, 535, 478

1. What is the LCM of 640, 535, 535, 478?

Answer: LCM of 640, 535, 535, 478 is 16366720.

2. How to calculate the LCM of 640, 535, 535, 478?

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 640, 535, 535, 478.

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}.