Given numbers are 285,151,420,750,312

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

The LCM of 285,151,420,750,312 is 783237000.

Find LCM of 285,151,420,750,312 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 151 x 7 x 25 x 26 = 783237000

Therefore, the lowest common multiple of 285,151,420,750,312 is 783237000.

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 151 x 420 x 750 x 312 = 4229479800000

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

151 : 1, 151

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,151,420,750,312, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

151:151

420:2x 2x 3x 5x 7

750:2x 3x 5x 5x 5

312:2x 2x 2x 3x 13

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 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 4229479800000/(1x5400)

LCM = 4229479800000/5400

LCM = 783237000

Thus, we can understand that the LCM of 285,151,420,750,312 is 783237000.

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

• LCM of 156, 311, 885, 919, 973
• LCM of 826, 882, 603, 220, 458
• LCM of 805, 636, 724, 609, 473
• LCM of 853, 753, 131, 759, 332
• LCM of 816, 481, 567, 972, 627

1. What is the LCM of 285, 151, 420, 750, 312?

Answer: LCM of 285, 151, 420, 750, 312 is 783237000.

2. How to calculate the LCM of 285, 151, 420, 750, 312?

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, 151, 420, 750, 312.

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}.