Given numbers are 976,420,382

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

The LCM of 976,420,382 is 19573680.

Find LCM of 976,420,382 with Prime Factorization

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

2 x 2 x 244 x 105 x 191 = 19573680

Therefore, the lowest common multiple of 976,420,382 is 19573680.

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.

976 x 420 x 382 = 156589440

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

382 : 1, 2, 191, 382

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,420,382, is 2.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

420:2x 2x 3x 5x 7

382:2x 191

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 156589440/(2x4)

LCM = 156589440/8

LCM = 19573680

Thus, we can understand that the LCM of 976,420,382 is 19573680.

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

• LCM of 794, 861, 475
• LCM of 366, 846, 693
• LCM of 585, 212, 620
• LCM of 602, 460, 234
• LCM of 173, 162, 787

1. What is the LCM of 976, 420, 382?

Answer: LCM of 976, 420, 382 is 19573680.

2. How to calculate the LCM of 976, 420, 382?

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 976, 420, 382.

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}.