Given numbers are 402,318,900,636

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

The LCM of 402,318,900,636 is 3195900.

Find LCM of 402,318,900,636 with Prime Factorization

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

2 x 2 x 3 x 53 x 67 x 1 x 75 x 1 = 3195900

Therefore, the lowest common multiple of 402,318,900,636 is 3195900.

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.

402 x 318 x 900 x 636 = 73173326400

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

318 : 1, 2, 3, 6, 53, 106, 159, 318

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

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,318,900,636, is 6.

Now, the common factors can be found like this.

402:2x 3x 67

318:2x 3x 53

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

636:2x 2x 3x 53

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 53 = 3816

Therefore, the value for common factors is 3816.

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 = 73173326400/(6x3816)

LCM = 73173326400/22896

LCM = 3195900

Thus, we can understand that the LCM of 402,318,900,636 is 3195900.

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

• LCM of 280, 443, 377, 528
• LCM of 456, 903, 450, 679
• LCM of 864, 766, 764, 921
• LCM of 314, 907, 813, 624
• LCM of 278, 284, 583, 532

1. What is the LCM of 402, 318, 900, 636?

Answer: LCM of 402, 318, 900, 636 is 3195900.

2. How to calculate the LCM of 402, 318, 900, 636?

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 402, 318, 900, 636.

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}.