Given numbers are 442,614,992

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

The LCM of 442,614,992 is 67304224.

Find LCM of 442,614,992 with Prime Factorization

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

2 x 221 x 307 x 496 = 67304224

Therefore, the lowest common multiple of 442,614,992 is 67304224.

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.

442 x 614 x 992 = 269216896

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

614 : 1, 2, 307, 614

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,614,992, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

614:2x 307

992:2x 2x 2x 2x 2x 31

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 = 269216896/(2x2)

LCM = 269216896/4

LCM = 67304224

Thus, we can understand that the LCM of 442,614,992 is 67304224.

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

• LCM of 140, 573, 322
• LCM of 654, 780, 248
• LCM of 310, 415, 433
• LCM of 188, 195, 243
• LCM of 602, 745, 964

1. What is the LCM of 442, 614, 992?

Answer: LCM of 442, 614, 992 is 67304224.

2. How to calculate the LCM of 442, 614, 992?

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 442, 614, 992.

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}.