Given numbers are 212,588,285,900,732

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

The LCM of 212,588,285,900,732 is 2708930700.

Find LCM of 212,588,285,900,732 with Prime Factorization

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

2 x 2 x 3 x 5 x 53 x 49 x 19 x 15 x 61 = 2708930700

Therefore, the lowest common multiple of 212,588,285,900,732 is 2708930700.

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.

212 x 588 x 285 x 900 x 732 = 23405161248000

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.

212 : 1, 2, 4, 53, 106, 212

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,588,285,900,732, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

588:2x 2x 3x 7x 7

285:3x 5x 19

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

732:2x 2x 3x 61

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 2x 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 23405161248000/(1x8640)

LCM = 23405161248000/8640

LCM = 2708930700

Thus, we can understand that the LCM of 212,588,285,900,732 is 2708930700.

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

• LCM of 790, 283, 840, 910, 331
• LCM of 495, 447, 514, 459, 774
• LCM of 421, 171, 106, 598, 655
• LCM of 505, 174, 200, 619, 792
• LCM of 300, 578, 265, 467, 875

1. What is the LCM of 212, 588, 285, 900, 732?

Answer: LCM of 212, 588, 285, 900, 732 is 2708930700.

2. How to calculate the LCM of 212, 588, 285, 900, 732?

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 212, 588, 285, 900, 732.

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}.