Given numbers are 946,664,349,720,408

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

The LCM of 946,664,349,720,408 is 167705025840.

Find LCM of 946,664,349,720,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 473 x 83 x 349 x 30 x 17 = 167705025840

Therefore, the lowest common multiple of 946,664,349,720,408 is 167705025840.

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.

946 x 664 x 349 x 720 x 408 = 64398729922560

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

664 : 1, 2, 4, 8, 83, 166, 332, 664

349 : 1, 349

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,664,349,720,408, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

664:2x 2x 2x 83

349:349

720:2x 2x 2x 2x 3x 3x 5

408:2x 2x 2x 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 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 = 64398729922560/(1x384)

LCM = 64398729922560/384

LCM = 167705025840

Thus, we can understand that the LCM of 946,664,349,720,408 is 167705025840.

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

• LCM of 334, 279, 531, 672, 612
• LCM of 677, 670, 243, 776, 218
• LCM of 559, 679, 296, 906, 772
• LCM of 895, 369, 182, 409, 731
• LCM of 652, 382, 574, 488, 348

1. What is the LCM of 946, 664, 349, 720, 408?

Answer: LCM of 946, 664, 349, 720, 408 is 167705025840.

2. How to calculate the LCM of 946, 664, 349, 720, 408?

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 946, 664, 349, 720, 408.

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}.