Given numbers are 416,321,124,588,324

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

The LCM of 416,321,124,588,324 is 5476711968.

Find LCM of 416,321,124,588,324 with Prime Factorization

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

2 x 2 x 3 x 104 x 107 x 31 x 49 x 27 = 5476711968

Therefore, the lowest common multiple of 416,321,124,588,324 is 5476711968.

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.

416 x 321 x 124 x 588 x 324 = 3154586093568

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

321 : 1, 3, 107, 321

124 : 1, 2, 4, 31, 62, 124

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,321,124,588,324, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

321:3x 107

124:2x 2x 31

588:2x 2x 3x 7x 7

324:2x 2x 3x 3x 3x 3

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 3 = 576

Therefore, the value for common factors is 576.

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 = 3154586093568/(1x576)

LCM = 3154586093568/576

LCM = 5476711968

Thus, we can understand that the LCM of 416,321,124,588,324 is 5476711968.

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

• LCM of 472, 780, 266, 206, 667
• LCM of 971, 717, 722, 477, 697
• LCM of 733, 470, 839, 645, 365
• LCM of 547, 835, 505, 149, 589
• LCM of 507, 632, 820, 460, 172

1. What is the LCM of 416, 321, 124, 588, 324?

Answer: LCM of 416, 321, 124, 588, 324 is 5476711968.

2. How to calculate the LCM of 416, 321, 124, 588, 324?

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 416, 321, 124, 588, 324.

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}.