Given numbers are 132,586,414,322,430

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

The LCM of 132,586,414,322,430 is 4016309220.

Find LCM of 132,586,414,322,430 with Prime Factorization

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

2 x 3 x 23 x 22 x 293 x 3 x 7 x 215 = 4016309220

Therefore, the lowest common multiple of 132,586,414,322,430 is 4016309220.

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.

132 x 586 x 414 x 322 x 430 = 4434005378880

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

586 : 1, 2, 293, 586

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,586,414,322,430, is 2.

Now, the common factors can be found like this.

132:2x 2x 3x 11

586:2x 293

414:2x 3x 3x 23

322:2x 7x 23

430:2x 5x 43

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 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 4434005378880/(2x552)

LCM = 4434005378880/1104

LCM = 4016309220

Thus, we can understand that the LCM of 132,586,414,322,430 is 4016309220.

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

• LCM of 579, 566, 981, 949, 729
• LCM of 304, 107, 731, 681, 546
• LCM of 467, 277, 827, 555, 707
• LCM of 783, 870, 636, 373, 498
• LCM of 567, 977, 733, 196, 448

1. What is the LCM of 132, 586, 414, 322, 430?

Answer: LCM of 132, 586, 414, 322, 430 is 4016309220.

2. How to calculate the LCM of 132, 586, 414, 322, 430?

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 132, 586, 414, 322, 430.

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}.