Given numbers are 564,382,198,825,374

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

The LCM of 564,382,198,825,374 is 1510829100.

Find LCM of 564,382,198,825,374 with Prime Factorization

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

2 x 3 x 11 x 94 x 191 x 3 x 25 x 17 = 1510829100

Therefore, the lowest common multiple of 564,382,198,825,374 is 1510829100.

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.

564 x 382 x 198 x 825 x 374 = 13162343119200

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.

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

382 : 1, 2, 191, 382

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,382,198,825,374, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

382:2x 191

198:2x 3x 3x 11

825:3x 5x 5x 11

374:2x 11x 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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 13162343119200/(1x8712)

LCM = 13162343119200/8712

LCM = 1510829100

Thus, we can understand that the LCM of 564,382,198,825,374 is 1510829100.

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

• LCM of 538, 349, 322, 781, 928
• LCM of 142, 314, 550, 243, 181
• LCM of 300, 300, 445, 440, 345
• LCM of 897, 532, 318, 663, 959
• LCM of 711, 441, 838, 273, 591

1. What is the LCM of 564, 382, 198, 825, 374?

Answer: LCM of 564, 382, 198, 825, 374 is 1510829100.

2. How to calculate the LCM of 564, 382, 198, 825, 374?

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 564, 382, 198, 825, 374.

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}.