Given numbers are 420,996,387,648,316

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

The LCM of 420,996,387,648,316 is 6394648680.

Find LCM of 420,996,387,648,316 with Prime Factorization

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

2 x 2 x 3 x 3 x 35 x 83 x 43 x 18 x 79 = 6394648680

Therefore, the lowest common multiple of 420,996,387,648,316 is 6394648680.

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 996 x 387 x 648 x 316 = 33149858757120

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

387 : 1, 3, 9, 43, 129, 387

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,996,387,648,316, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

996:2x 2x 3x 83

387:3x 3x 43

648:2x 2x 2x 3x 3x 3x 3

316:2x 2x 79

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 3 = 5184

Therefore, the value for common factors is 5184.

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 = 33149858757120/(1x5184)

LCM = 33149858757120/5184

LCM = 6394648680

Thus, we can understand that the LCM of 420,996,387,648,316 is 6394648680.

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

• LCM of 355, 295, 829, 149, 141
• LCM of 612, 825, 328, 502, 614
• LCM of 528, 740, 211, 178, 321
• LCM of 827, 349, 260, 995, 558
• LCM of 714, 737, 786, 497, 877

1. What is the LCM of 420, 996, 387, 648, 316?

Answer: LCM of 420, 996, 387, 648, 316 is 6394648680.

2. How to calculate the LCM of 420, 996, 387, 648, 316?

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, 996, 387, 648, 316.

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}.