Given numbers are 565,381,408,398,964

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

The LCM of 565,381,408,398,964 is 1404049602360.

Find LCM of 565,381,408,398,964 with Prime Factorization

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

2 x 2 x 3 x 565 x 127 x 34 x 199 x 241 = 1404049602360

Therefore, the lowest common multiple of 565,381,408,398,964 is 1404049602360.

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.

565 x 381 x 408 x 398 x 964 = 33697190456640

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.

565 : 1, 5, 113, 565

381 : 1, 3, 127, 381

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

398 : 1, 2, 199, 398

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,381,408,398,964, is 1.

Now, the common factors can be found like this.

565:5x 113

381:3x 127

408:2x 2x 2x 3x 17

398:2x 199

964:2x 2x 241

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 3 = 24

Therefore, the value for common factors is 24.

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 = 33697190456640/(1x24)

LCM = 33697190456640/24

LCM = 1404049602360

Thus, we can understand that the LCM of 565,381,408,398,964 is 1404049602360.

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

• LCM of 889, 141, 917, 854, 952
• LCM of 848, 656, 764, 904, 937
• LCM of 933, 663, 507, 272, 144
• LCM of 392, 588, 215, 607, 332
• LCM of 540, 191, 924, 682, 466

1. What is the LCM of 565, 381, 408, 398, 964?

Answer: LCM of 565, 381, 408, 398, 964 is 1404049602360.

2. How to calculate the LCM of 565, 381, 408, 398, 964?

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 565, 381, 408, 398, 964.

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}.