Given numbers are 192,648,564,152,652

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

The LCM of 192,648,564,152,652 is 754577856.

Find LCM of 192,648,564,152,652 with Prime Factorization

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

2 x 2 x 2 x 3 x 8 x 27 x 47 x 19 x 163 = 754577856

Therefore, the lowest common multiple of 192,648,564,152,652 is 754577856.

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.

192 x 648 x 564 x 152 x 652 = 6954189520896

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

152 : 1, 2, 4, 8, 19, 38, 76, 152

652 : 1, 2, 4, 163, 326, 652

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,648,564,152,652, is 4.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

648:2x 2x 2x 3x 3x 3x 3

564:2x 2x 3x 47

152:2x 2x 2x 19

652:2x 2x 163

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 3 = 2304

Therefore, the value for common factors is 2304.

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 = 6954189520896/(4x2304)

LCM = 6954189520896/9216

LCM = 754577856

Thus, we can understand that the LCM of 192,648,564,152,652 is 754577856.

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

• LCM of 389, 762, 720, 200, 583
• LCM of 503, 526, 755, 471, 519
• LCM of 455, 199, 736, 718, 865
• LCM of 645, 315, 172, 376, 217
• LCM of 962, 131, 856, 197, 856

1. What is the LCM of 192, 648, 564, 152, 652?

Answer: LCM of 192, 648, 564, 152, 652 is 754577856.

2. How to calculate the LCM of 192, 648, 564, 152, 652?

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 192, 648, 564, 152, 652.

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}.