Given numbers are 924,303,606,392,460

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

The LCM of 924,303,606,392,460 is 150251640.

Find LCM of 924,303,606,392,460 with Prime Factorization

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

2 x 2 x 3 x 7 x 101 x 11 x 1 x 1 x 14 x 115 = 150251640

Therefore, the lowest common multiple of 924,303,606,392,460 is 150251640.

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.

924 x 303 x 606 x 392 x 460 = 30593637930240

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

303 : 1, 3, 101, 303

606 : 1, 2, 3, 6, 101, 202, 303, 606

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,303,606,392,460, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

303:3x 101

606:2x 3x 101

392:2x 2x 2x 7x 7

460:2x 2x 5x 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 2x 3x 3x 7x 101 = 203616

Therefore, the value for common factors is 203616.

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 = 30593637930240/(1x203616)

LCM = 30593637930240/203616

LCM = 150251640

Thus, we can understand that the LCM of 924,303,606,392,460 is 150251640.

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

• LCM of 429, 111, 558, 500, 678
• LCM of 269, 853, 500, 679, 883
• LCM of 183, 726, 519, 634, 876
• LCM of 788, 762, 282, 560, 248
• LCM of 763, 770, 317, 365, 864

1. What is the LCM of 924, 303, 606, 392, 460?

Answer: LCM of 924, 303, 606, 392, 460 is 150251640.

2. How to calculate the LCM of 924, 303, 606, 392, 460?

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 924, 303, 606, 392, 460.

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}.