Given numbers are 458,516,364,936,468

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

The LCM of 458,516,364,936,468 is 64517544.

Find LCM of 458,516,364,936,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 229 x 43 x 7 x 1 x 2 = 64517544

Therefore, the lowest common multiple of 458,516,364,936,468 is 64517544.

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.

458 x 516 x 364 x 936 x 468 = 37682374818816

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.

458 : 1, 2, 229, 458

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,516,364,936,468, is 2.

Now, the common factors can be found like this.

458:2x 229

516:2x 2x 3x 43

364:2x 2x 7x 13

936:2x 2x 2x 3x 3x 13

468:2x 2x 3x 3x 13

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 2x 2x 3x 3x 3x 13x 13 = 292032

Therefore, the value for common factors is 292032.

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 = 37682374818816/(2x292032)

LCM = 37682374818816/584064

LCM = 64517544

Thus, we can understand that the LCM of 458,516,364,936,468 is 64517544.

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

• LCM of 190, 127, 721, 613, 830
• LCM of 424, 985, 190, 501, 877
• LCM of 326, 853, 518, 800, 436
• LCM of 513, 849, 869, 150, 178
• LCM of 200, 972, 111, 815, 283

1. What is the LCM of 458, 516, 364, 936, 468?

Answer: LCM of 458, 516, 364, 936, 468 is 64517544.

2. How to calculate the LCM of 458, 516, 364, 936, 468?

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 458, 516, 364, 936, 468.

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}.