Given numbers are 564,743,160,128,414

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

The LCM of 564,743,160,128,414 is 4626334080.

Find LCM of 564,743,160,128,414 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 47 x 743 x 5 x 4 x 69 = 4626334080

Therefore, the lowest common multiple of 564,743,160,128,414 is 4626334080.

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 743 x 160 x 128 x 414 = 3553024573440

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

743 : 1, 743

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

128 : 1, 2, 4, 8, 16, 32, 64, 128

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,743,160,128,414, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

743:743

160:2x 2x 2x 2x 2x 5

128:2x 2x 2x 2x 2x 2x 2

414:2x 3x 3x 23

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 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 3553024573440/(1x768)

LCM = 3553024573440/768

LCM = 4626334080

Thus, we can understand that the LCM of 564,743,160,128,414 is 4626334080.

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

• LCM of 501, 986, 407, 288, 944
• LCM of 725, 867, 645, 567, 951
• LCM of 704, 552, 436, 236, 320
• LCM of 807, 610, 341, 530, 944
• LCM of 309, 855, 100, 107, 541

1. What is the LCM of 564, 743, 160, 128, 414?

Answer: LCM of 564, 743, 160, 128, 414 is 4626334080.

2. How to calculate the LCM of 564, 743, 160, 128, 414?

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, 743, 160, 128, 414.

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}.