Given numbers are 420,195,790,846,406

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

The LCM of 420,195,790,846,406 is 1763749260.

Find LCM of 420,195,790,846,406 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 13 x 79 x 141 x 29 = 1763749260

Therefore, the lowest common multiple of 420,195,790,846,406 is 1763749260.

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 195 x 790 x 846 x 406 = 22223240676000

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

790 : 1, 2, 5, 10, 79, 158, 395, 790

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,195,790,846,406, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

195:3x 5x 13

790:2x 5x 79

846:2x 3x 3x 47

406:2x 7x 29

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 3x 5x 5x 7 = 12600

Therefore, the value for common factors is 12600.

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 = 22223240676000/(1x12600)

LCM = 22223240676000/12600

LCM = 1763749260

Thus, we can understand that the LCM of 420,195,790,846,406 is 1763749260.

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

• LCM of 352, 704, 518, 280, 801
• LCM of 640, 554, 689, 935, 570
• LCM of 172, 544, 173, 617, 902
• LCM of 262, 390, 521, 791, 578
• LCM of 902, 378, 955, 234, 423

1. What is the LCM of 420, 195, 790, 846, 406?

Answer: LCM of 420, 195, 790, 846, 406 is 1763749260.

2. How to calculate the LCM of 420, 195, 790, 846, 406?

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, 195, 790, 846, 406.

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}.