Given numbers are 570,141,393,516,402

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

The LCM of 570,141,393,516,402 is 20221681380.

Find LCM of 570,141,393,516,402 with Prime Factorization

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

2 x 3 x 95 x 47 x 131 x 86 x 67 = 20221681380

Therefore, the lowest common multiple of 570,141,393,516,402 is 20221681380.

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.

570 x 141 x 393 x 516 x 402 = 6551824767120

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

141 : 1, 3, 47, 141

393 : 1, 3, 131, 393

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

402 : 1, 2, 3, 6, 67, 134, 201, 402

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,141,393,516,402, is 3.

Now, the common factors can be found like this.

570:2x 3x 5x 19

141:3x 47

393:3x 131

516:2x 2x 3x 43

402:2x 3x 67

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 6551824767120/(3x108)

LCM = 6551824767120/324

LCM = 20221681380

Thus, we can understand that the LCM of 570,141,393,516,402 is 20221681380.

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

• LCM of 922, 277, 848, 903, 653
• LCM of 328, 620, 753, 934, 302
• LCM of 573, 880, 395, 504, 886
• LCM of 520, 162, 262, 501, 673
• LCM of 125, 343, 477, 698, 527

1. What is the LCM of 570, 141, 393, 516, 402?

Answer: LCM of 570, 141, 393, 516, 402 is 20221681380.

2. How to calculate the LCM of 570, 141, 393, 516, 402?

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 570, 141, 393, 516, 402.

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}.