Given numbers are 189,552,784,388,968

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

The LCM of 189,552,784,388,968 is 5714322768.

Find LCM of 189,552,784,388,968 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 9 x 23 x 14 x 97 x 121 = 5714322768

Therefore, the lowest common multiple of 189,552,784,388,968 is 5714322768.

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.

189 x 552 x 784 x 388 x 968 = 30720199200768

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

388 : 1, 2, 4, 97, 194, 388

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,552,784,388,968, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

552:2x 2x 2x 3x 23

784:2x 2x 2x 2x 7x 7

388:2x 2x 97

968:2x 2x 2x 11x 11

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 3x 7 = 5376

Therefore, the value for common factors is 5376.

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 = 30720199200768/(1x5376)

LCM = 30720199200768/5376

LCM = 5714322768

Thus, we can understand that the LCM of 189,552,784,388,968 is 5714322768.

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

• LCM of 509, 316, 261, 227, 748
• LCM of 663, 236, 108, 400, 563
• LCM of 320, 256, 402, 986, 942
• LCM of 824, 160, 426, 115, 993
• LCM of 286, 745, 379, 657, 504

1. What is the LCM of 189, 552, 784, 388, 968?

Answer: LCM of 189, 552, 784, 388, 968 is 5714322768.

2. How to calculate the LCM of 189, 552, 784, 388, 968?

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 189, 552, 784, 388, 968.

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}.