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LCM of 187, 396, 407, 350, 388

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


Find the LCM of 187, 396, 407, 350, 388 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 187, 396, 407, 350, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,396,407,350,388

Given numbers are 187,396,407,350,388

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

The LCM of 187,396,407,350,388 is 4228200900.

Find LCM of 187,396,407,350,388 with Prime Factorization


2 187, 396, 407, 350, 388
2 187, 198, 407, 175, 194
11 187, 99, 407, 175, 97
17, 9, 37, 175, 97

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

2 x 2 x 11 x 17 x 9 x 37 x 175 x 97 = 4228200900

Therefore, the lowest common multiple of 187,396,407,350,388 is 4228200900.

LCM Formula to Find Lowest Common Multiple of 187,396,407,350,388

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.

187 x 396 x 407 x 350 x 388 = 4092898471200

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.

187 : 1, 11, 17, 187

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

407 : 1, 11, 37, 407

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,396,407,350,388, is 1.

Now, the common factors can be found like this.

187:11x 17

396:2x 2x 3x 3x 11

407:11x 37

350:2x 5x 5x 7

388:2x 2x 97

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 4092898471200/(1x968)

LCM = 4092898471200/968

LCM = 4228200900

Thus, we can understand that the LCM of 187,396,407,350,388 is 4228200900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 396, 407, 350, 388

1. What is the LCM of 187, 396, 407, 350, 388?

Answer: LCM of 187, 396, 407, 350, 388 is 4228200900.

2. How to calculate the LCM of 187, 396, 407, 350, 388?

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 187, 396, 407, 350, 388.

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}.