Given numbers are 614,493,642,622

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

The LCM of 614,493,642,622 is 30219043362.

Find LCM of 614,493,642,622 with Prime Factorization

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

2 x 307 x 493 x 321 x 311 = 30219043362

Therefore, the lowest common multiple of 614,493,642,622 is 30219043362.

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.

614 x 493 x 642 x 622 = 120876173448

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.

614 : 1, 2, 307, 614

493 : 1, 17, 29, 493

642 : 1, 2, 3, 6, 107, 214, 321, 642

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,493,642,622, is 1.

Now, the common factors can be found like this.

614:2x 307

493:17x 29

642:2x 3x 107

622:2x 311

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 = 120876173448/(1x4)

LCM = 120876173448/4

LCM = 30219043362

Thus, we can understand that the LCM of 614,493,642,622 is 30219043362.

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

• LCM of 166, 786, 170, 348
• LCM of 159, 175, 779, 621
• LCM of 536, 529, 108, 941
• LCM of 834, 589, 944, 444
• LCM of 292, 303, 814, 786

1. What is the LCM of 614, 493, 642, 622?

Answer: LCM of 614, 493, 642, 622 is 30219043362.

2. How to calculate the LCM of 614, 493, 642, 622?

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 614, 493, 642, 622.

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}.