Given numbers are 213,596,232,150,786

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

The LCM of 213,596,232,150,786 is 24113772600.

Find LCM of 213,596,232,150,786 with Prime Factorization

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

2 x 2 x 3 x 71 x 149 x 58 x 25 x 131 = 24113772600

Therefore, the lowest common multiple of 213,596,232,150,786 is 24113772600.

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.

213 x 596 x 232 x 150 x 786 = 3472383254400

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.

213 : 1, 3, 71, 213

596 : 1, 2, 4, 149, 298, 596

232 : 1, 2, 4, 8, 29, 58, 116, 232

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,596,232,150,786, is 1.

Now, the common factors can be found like this.

213:3x 71

596:2x 2x 149

232:2x 2x 2x 29

150:2x 3x 5x 5

786:2x 3x 131

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 3 = 144

Therefore, the value for common factors is 144.

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 = 3472383254400/(1x144)

LCM = 3472383254400/144

LCM = 24113772600

Thus, we can understand that the LCM of 213,596,232,150,786 is 24113772600.

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

• LCM of 970, 189, 885, 887, 721
• LCM of 418, 174, 225, 985, 746
• LCM of 958, 915, 629, 813, 482
• LCM of 102, 254, 575, 934, 705
• LCM of 979, 526, 301, 593, 911

1. What is the LCM of 213, 596, 232, 150, 786?

Answer: LCM of 213, 596, 232, 150, 786 is 24113772600.

2. How to calculate the LCM of 213, 596, 232, 150, 786?

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 213, 596, 232, 150, 786.

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}.