Given numbers are 192,753,596,728,380

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

The LCM of 192,753,596,728,380 is 62076356160.

Find LCM of 192,753,596,728,380 with Prime Factorization

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

2 x 2 x 2 x 3 x 8 x 251 x 149 x 91 x 95 = 62076356160

Therefore, the lowest common multiple of 192,753,596,728,380 is 62076356160.

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 753 x 596 x 728 x 380 = 23837320765440

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

753 : 1, 3, 251, 753

596 : 1, 2, 4, 149, 298, 596

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,753,596,728,380, is 1.

Now, the common factors can be found like this.

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

753:3x 251

596:2x 2x 149

728:2x 2x 2x 7x 13

380:2x 2x 5x 19

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 3 = 384

Therefore, the value for common factors is 384.

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 = 23837320765440/(1x384)

LCM = 23837320765440/384

LCM = 62076356160

Thus, we can understand that the LCM of 192,753,596,728,380 is 62076356160.

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

• LCM of 661, 257, 448, 473, 186
• LCM of 123, 472, 968, 244, 624
• LCM of 312, 726, 405, 255, 881
• LCM of 968, 820, 781, 222, 943
• LCM of 737, 889, 730, 673, 289

1. What is the LCM of 192, 753, 596, 728, 380?

Answer: LCM of 192, 753, 596, 728, 380 is 62076356160.

2. How to calculate the LCM of 192, 753, 596, 728, 380?

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, 753, 596, 728, 380.

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}.