Given numbers are 900,342,636,572

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

The LCM of 900,342,636,572 is 129600900.

Find LCM of 900,342,636,572 with Prime Factorization

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

2 x 2 x 3 x 3 x 25 x 19 x 53 x 143 = 129600900

Therefore, the lowest common multiple of 900,342,636,572 is 129600900.

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.

900 x 342 x 636 x 572 = 111975177600

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.

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,342,636,572, is 2.

Now, the common factors can be found like this.

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

342:2x 3x 3x 19

636:2x 2x 3x 53

572:2x 2x 11x 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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 111975177600/(2x432)

LCM = 111975177600/864

LCM = 129600900

Thus, we can understand that the LCM of 900,342,636,572 is 129600900.

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

• LCM of 123, 963, 631, 197
• LCM of 325, 596, 112, 936
• LCM of 925, 218, 819, 898
• LCM of 639, 716, 851, 966
• LCM of 222, 160, 776, 698

1. What is the LCM of 900, 342, 636, 572?

Answer: LCM of 900, 342, 636, 572 is 129600900.

2. How to calculate the LCM of 900, 342, 636, 572?

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 900, 342, 636, 572.

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}.