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LCM of 364, 475, 660, 640

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


Find the LCM of 364, 475, 660, 640 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 364, 475, 660, 640. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,475,660,640

Given numbers are 364,475,660,640

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

The LCM of 364,475,660,640 is 182582400.

Find LCM of 364,475,660,640 with Prime Factorization


2 364, 475, 660, 640
2 182, 475, 330, 320
5 91, 475, 165, 160
91, 95, 33, 32

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

2 x 2 x 5 x 91 x 95 x 33 x 32 = 182582400

Therefore, the lowest common multiple of 364,475,660,640 is 182582400.

LCM Formula to Find Lowest Common Multiple of 364,475,660,640

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.

364 x 475 x 660 x 640 = 73032960000

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

475 : 1, 5, 19, 25, 95, 475

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,475,660,640, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

475:5x 5x 19

660:2x 2x 3x 5x 11

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

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 2x 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 73032960000/(1x400)

LCM = 73032960000/400

LCM = 182582400

Thus, we can understand that the LCM of 364,475,660,640 is 182582400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 475, 660, 640

1. What is the LCM of 364, 475, 660, 640?

Answer: LCM of 364, 475, 660, 640 is 182582400.

2. How to calculate the LCM of 364, 475, 660, 640?

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 364, 475, 660, 640.

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}.