Given numbers are 380,616,352,840

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

The LCM of 380,616,352,840 is 702240.

Find LCM of 380,616,352,840 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 11 x 19 x 1 x 4 x 3 = 702240

Therefore, the lowest common multiple of 380,616,352,840 is 702240.

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.

380 x 616 x 352 x 840 = 69212774400

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,616,352,840, is 4.

Now, the common factors can be found like this.

380:2x 2x 5x 19

616:2x 2x 2x 7x 11

352:2x 2x 2x 2x 2x 11

840:2x 2x 2x 3x 5x 7

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 5x 7x 11 = 24640

Therefore, the value for common factors is 24640.

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 = 69212774400/(4x24640)

LCM = 69212774400/98560

LCM = 702240

Thus, we can understand that the LCM of 380,616,352,840 is 702240.

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

• LCM of 337, 846, 979, 606
• LCM of 507, 201, 280, 418
• LCM of 431, 912, 852, 941
• LCM of 548, 768, 599, 983
• LCM of 451, 560, 710, 982

1. What is the LCM of 380, 616, 352, 840?

Answer: LCM of 380, 616, 352, 840 is 702240.

2. How to calculate the LCM of 380, 616, 352, 840?

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 380, 616, 352, 840.

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}.