Given numbers are 380,582,649

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

The LCM of 380,582,649 is 71766420.

Find LCM of 380,582,649 with Prime Factorization

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

2 x 190 x 291 x 649 = 71766420

Therefore, the lowest common multiple of 380,582,649 is 71766420.

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 582 x 649 = 143532840

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,582,649, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

582:2x 3x 97

649:11x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 143532840/(1x2)

LCM = 143532840/2

LCM = 71766420

Thus, we can understand that the LCM of 380,582,649 is 71766420.

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

• LCM of 176, 535, 518
• LCM of 143, 152, 668
• LCM of 470, 496, 224
• LCM of 466, 277, 407
• LCM of 265, 238, 317

1. What is the LCM of 380, 582, 649?

Answer: LCM of 380, 582, 649 is 71766420.

2. How to calculate the LCM of 380, 582, 649?

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, 582, 649.

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}.