Given numbers are 571,468,351,364,612

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

The LCM of 571,468,351,364,612 is 95400396.

Find LCM of 571,468,351,364,612 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 571 x 1 x 3 x 7 x 17 = 95400396

Therefore, the lowest common multiple of 571,468,351,364,612 is 95400396.

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.

571 x 468 x 351 x 364 x 612 = 20894976333504

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.

571 : 1, 571

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

351 : 1, 3, 9, 13, 27, 39, 117, 351

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,468,351,364,612, is 1.

Now, the common factors can be found like this.

571:571

468:2x 2x 3x 3x 13

351:3x 3x 3x 13

364:2x 2x 7x 13

612:2x 2x 3x 3x 17

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 3x 3x 3x 3x 13x 13 = 219024

Therefore, the value for common factors is 219024.

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 = 20894976333504/(1x219024)

LCM = 20894976333504/219024

LCM = 95400396

Thus, we can understand that the LCM of 571,468,351,364,612 is 95400396.

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

• LCM of 408, 240, 656, 581, 646
• LCM of 486, 710, 915, 531, 718
• LCM of 978, 166, 982, 794, 110
• LCM of 989, 853, 461, 954, 733
• LCM of 308, 469, 625, 875, 337

1. What is the LCM of 571, 468, 351, 364, 612?

Answer: LCM of 571, 468, 351, 364, 612 is 95400396.

2. How to calculate the LCM of 571, 468, 351, 364, 612?

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 571, 468, 351, 364, 612.

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}.