Given numbers are 250,221,828,456,213

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

The LCM of 250,221,828,456,213 is 61712703000.

Find LCM of 250,221,828,456,213 with Prime Factorization

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

2 x 2 x 3 x 125 x 221 x 69 x 38 x 71 = 61712703000

Therefore, the lowest common multiple of 250,221,828,456,213 is 61712703000.

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.

250 x 221 x 828 x 456 x 213 = 4443314616000

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.

250 : 1, 2, 5, 10, 25, 50, 125, 250

221 : 1, 13, 17, 221

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,221,828,456,213, is 1.

Now, the common factors can be found like this.

250:2x 5x 5x 5

221:13x 17

828:2x 2x 3x 3x 23

456:2x 2x 2x 3x 19

213:3x 71

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 3 = 72

Therefore, the value for common factors is 72.

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 = 4443314616000/(1x72)

LCM = 4443314616000/72

LCM = 61712703000

Thus, we can understand that the LCM of 250,221,828,456,213 is 61712703000.

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

• LCM of 472, 137, 911, 523, 296
• LCM of 674, 315, 212, 601, 608
• LCM of 862, 930, 958, 425, 947
• LCM of 822, 949, 489, 827, 580
• LCM of 788, 140, 200, 116, 881

1. What is the LCM of 250, 221, 828, 456, 213?

Answer: LCM of 250, 221, 828, 456, 213 is 61712703000.

2. How to calculate the LCM of 250, 221, 828, 456, 213?

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 250, 221, 828, 456, 213.

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}.