Given numbers are 362,608,772,420

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

The LCM of 362,608,772,420 is 2230122720.

Find LCM of 362,608,772,420 with Prime Factorization

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

2 x 2 x 181 x 152 x 193 x 105 = 2230122720

Therefore, the lowest common multiple of 362,608,772,420 is 2230122720.

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.

362 x 608 x 772 x 420 = 71363927040

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.

362 : 1, 2, 181, 362

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

772 : 1, 2, 4, 193, 386, 772

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,608,772,420, is 2.

Now, the common factors can be found like this.

362:2x 181

608:2x 2x 2x 2x 2x 19

772:2x 2x 193

420:2x 2x 3x 5x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 71363927040/(2x16)

LCM = 71363927040/32

LCM = 2230122720

Thus, we can understand that the LCM of 362,608,772,420 is 2230122720.

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

• LCM of 859, 546, 233, 481
• LCM of 846, 419, 626, 503
• LCM of 461, 156, 118, 233
• LCM of 798, 584, 628, 434
• LCM of 779, 735, 938, 472

1. What is the LCM of 362, 608, 772, 420?

Answer: LCM of 362, 608, 772, 420 is 2230122720.

2. How to calculate the LCM of 362, 608, 772, 420?

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 362, 608, 772, 420.

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}.