Given numbers are 414,214,411,609,952

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

The LCM of 414,214,411,609,952 is 83774074104.

Find LCM of 414,214,411,609,952 with Prime Factorization

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

2 x 3 x 7 x 69 x 107 x 137 x 29 x 68 = 83774074104

Therefore, the lowest common multiple of 414,214,411,609,952 is 83774074104.

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.

414 x 214 x 411 x 609 x 952 = 21111066674208

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

214 : 1, 2, 107, 214

411 : 1, 3, 137, 411

609 : 1, 3, 7, 21, 29, 87, 203, 609

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,214,411,609,952, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

214:2x 107

411:3x 137

609:3x 7x 29

952:2x 2x 2x 7x 17

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 21111066674208/(1x252)

LCM = 21111066674208/252

LCM = 83774074104

Thus, we can understand that the LCM of 414,214,411,609,952 is 83774074104.

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

• LCM of 749, 234, 902, 737, 147
• LCM of 805, 438, 637, 816, 957
• LCM of 145, 451, 554, 538, 342
• LCM of 185, 286, 923, 843, 856
• LCM of 982, 439, 990, 918, 257

1. What is the LCM of 414, 214, 411, 609, 952?

Answer: LCM of 414, 214, 411, 609, 952 is 83774074104.

2. How to calculate the LCM of 414, 214, 411, 609, 952?

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 414, 214, 411, 609, 952.

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}.