Given numbers are 732,374,408,684,491

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

The LCM of 732,374,408,684,491 is 7661945016.

Find LCM of 732,374,408,684,491 with Prime Factorization

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

2 x 2 x 3 x 17 x 61 x 11 x 2 x 57 x 491 = 7661945016

Therefore, the lowest common multiple of 732,374,408,684,491 is 7661945016.

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.

732 x 374 x 408 x 684 x 491 = 37512882798336

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,374,408,684,491, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

374:2x 11x 17

408:2x 2x 2x 3x 17

684:2x 2x 3x 3x 19

491:491

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 3x 3x 17 = 4896

Therefore, the value for common factors is 4896.

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 = 37512882798336/(1x4896)

LCM = 37512882798336/4896

LCM = 7661945016

Thus, we can understand that the LCM of 732,374,408,684,491 is 7661945016.

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

• LCM of 197, 786, 126, 170, 806
• LCM of 928, 507, 940, 572, 146
• LCM of 152, 207, 182, 807, 243
• LCM of 942, 462, 171, 582, 617
• LCM of 339, 905, 265, 296, 624

1. What is the LCM of 732, 374, 408, 684, 491?

Answer: LCM of 732, 374, 408, 684, 491 is 7661945016.

2. How to calculate the LCM of 732, 374, 408, 684, 491?

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 732, 374, 408, 684, 491.

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}.