Given numbers are 397,832,750,962,409

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

The LCM of 397,832,750,962,409 is 1874433912000.

Find LCM of 397,832,750,962,409 with Prime Factorization

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

2 x 13 x 397 x 32 x 375 x 37 x 409 = 1874433912000

Therefore, the lowest common multiple of 397,832,750,962,409 is 1874433912000.

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.

397 x 832 x 750 x 962 x 409 = 97470563424000

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.

397 : 1, 397

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

962 : 1, 2, 13, 26, 37, 74, 481, 962

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,832,750,962,409, is 1.

Now, the common factors can be found like this.

397:397

832:2x 2x 2x 2x 2x 2x 13

750:2x 3x 5x 5x 5

962:2x 13x 37

409:409

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 13 = 52

Therefore, the value for common factors is 52.

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 = 97470563424000/(1x52)

LCM = 97470563424000/52

LCM = 1874433912000

Thus, we can understand that the LCM of 397,832,750,962,409 is 1874433912000.

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

• LCM of 958, 377, 573, 759, 877
• LCM of 583, 359, 987, 950, 652
• LCM of 561, 895, 671, 661, 301
• LCM of 383, 363, 694, 968, 498
• LCM of 520, 885, 417, 957, 920

1. What is the LCM of 397, 832, 750, 962, 409?

Answer: LCM of 397, 832, 750, 962, 409 is 1874433912000.

2. How to calculate the LCM of 397, 832, 750, 962, 409?

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 397, 832, 750, 962, 409.

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}.