Given numbers are 285,900,924,620

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

The LCM of 285,900,924,620 is 40817700.

Find LCM of 285,900,924,620 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 15 x 77 x 31 = 40817700

Therefore, the lowest common multiple of 285,900,924,620 is 40817700.

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.

285 x 900 x 924 x 620 = 146943720000

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,900,924,620, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

900:2x 2x 3x 3x 5x 5

924:2x 2x 3x 7x 11

620:2x 2x 5x 31

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 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 146943720000/(1x3600)

LCM = 146943720000/3600

LCM = 40817700

Thus, we can understand that the LCM of 285,900,924,620 is 40817700.

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

• LCM of 327, 408, 921, 699
• LCM of 442, 590, 541, 527
• LCM of 983, 141, 982, 331
• LCM of 777, 854, 762, 245
• LCM of 772, 674, 505, 602

1. What is the LCM of 285, 900, 924, 620?

Answer: LCM of 285, 900, 924, 620 is 40817700.

2. How to calculate the LCM of 285, 900, 924, 620?

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 285, 900, 924, 620.

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}.