Given numbers are 564,912,612,201,341

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

The LCM of 564,912,612,201,341 is 49945004208.

Find LCM of 564,912,612,201,341 with Prime Factorization

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

2 x 2 x 3 x 47 x 76 x 51 x 67 x 341 = 49945004208

Therefore, the lowest common multiple of 564,912,612,201,341 is 49945004208.

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.

564 x 912 x 612 x 201 x 341 = 21576241817856

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.

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

201 : 1, 3, 67, 201

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,912,612,201,341, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

912:2x 2x 2x 2x 3x 19

612:2x 2x 3x 3x 17

201:3x 67

341:11x 31

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 = 21576241817856/(1x432)

LCM = 21576241817856/432

LCM = 49945004208

Thus, we can understand that the LCM of 564,912,612,201,341 is 49945004208.

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

• LCM of 878, 229, 684, 627, 998
• LCM of 768, 331, 399, 417, 267
• LCM of 888, 817, 828, 514, 706
• LCM of 917, 770, 197, 629, 328
• LCM of 265, 385, 715, 839, 465

1. What is the LCM of 564, 912, 612, 201, 341?

Answer: LCM of 564, 912, 612, 201, 341 is 49945004208.

2. How to calculate the LCM of 564, 912, 612, 201, 341?

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 564, 912, 612, 201, 341.

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}.