Given numbers are 413,201,209,216,632

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

The LCM of 413,201,209,216,632 is 98685190296.

Find LCM of 413,201,209,216,632 with Prime Factorization

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

2 x 2 x 2 x 3 x 413 x 67 x 209 x 9 x 79 = 98685190296

Therefore, the lowest common multiple of 413,201,209,216,632 is 98685190296.

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.

413 x 201 x 209 x 216 x 632 = 2368444567104

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.

413 : 1, 7, 59, 413

201 : 1, 3, 67, 201

209 : 1, 11, 19, 209

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,201,209,216,632, is 1.

Now, the common factors can be found like this.

413:7x 59

201:3x 67

209:11x 19

216:2x 2x 2x 3x 3x 3

632:2x 2x 2x 79

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2368444567104/(1x24)

LCM = 2368444567104/24

LCM = 98685190296

Thus, we can understand that the LCM of 413,201,209,216,632 is 98685190296.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 573, 158, 988, 966, 368
• LCM of 768, 517, 493, 497, 593
• LCM of 653, 779, 148, 863, 712
• LCM of 592, 961, 529, 759, 915
• LCM of 665, 424, 421, 921, 715

1. What is the LCM of 413, 201, 209, 216, 632?

Answer: LCM of 413, 201, 209, 216, 632 is 98685190296.

2. How to calculate the LCM of 413, 201, 209, 216, 632?

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 413, 201, 209, 216, 632.

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}.