Given numbers are 420,404,516,207

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

The LCM of 420,404,516,207 is 125860140.

Find LCM of 420,404,516,207 with Prime Factorization

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

2 x 2 x 3 x 35 x 101 x 43 x 69 = 125860140

Therefore, the lowest common multiple of 420,404,516,207 is 125860140.

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.

420 x 404 x 516 x 207 = 18123860160

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

404 : 1, 2, 4, 101, 202, 404

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

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,404,516,207, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

404:2x 2x 101

516:2x 2x 3x 43

207:3x 3x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 18123860160/(1x144)

LCM = 18123860160/144

LCM = 125860140

Thus, we can understand that the LCM of 420,404,516,207 is 125860140.

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

• LCM of 320, 732, 771, 284
• LCM of 149, 387, 683, 425
• LCM of 861, 802, 371, 143
• LCM of 305, 746, 423, 989
• LCM of 271, 619, 682, 743

1. What is the LCM of 420, 404, 516, 207?

Answer: LCM of 420, 404, 516, 207 is 125860140.

2. How to calculate the LCM of 420, 404, 516, 207?

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 420, 404, 516, 207.

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}.