Given numbers are 138,633,282,606,564

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

The LCM of 138,633,282,606,564 is 276446292.

Find LCM of 138,633,282,606,564 with Prime Factorization

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

2 x 3 x 47 x 23 x 211 x 1 x 101 x 2 = 276446292

Therefore, the lowest common multiple of 138,633,282,606,564 is 276446292.

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.

138 x 633 x 282 x 606 x 564 = 8419448269152

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

633 : 1, 3, 211, 633

282 : 1, 2, 3, 6, 47, 94, 141, 282

606 : 1, 2, 3, 6, 101, 202, 303, 606

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,633,282,606,564, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

633:3x 211

282:2x 3x 47

606:2x 3x 101

564:2x 2x 3x 47

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 3x 47 = 10152

Therefore, the value for common factors is 10152.

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 = 8419448269152/(3x10152)

LCM = 8419448269152/30456

LCM = 276446292

Thus, we can understand that the LCM of 138,633,282,606,564 is 276446292.

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

• LCM of 769, 612, 113, 886, 328
• LCM of 718, 590, 655, 577, 544
• LCM of 523, 294, 195, 820, 118
• LCM of 998, 477, 776, 361, 120
• LCM of 745, 979, 785, 549, 914

1. What is the LCM of 138, 633, 282, 606, 564?

Answer: LCM of 138, 633, 282, 606, 564 is 276446292.

2. How to calculate the LCM of 138, 633, 282, 606, 564?

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 138, 633, 282, 606, 564.

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}.