Given numbers are 493,977,221

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

The LCM of 493,977,221 is 6261593.

Find LCM of 493,977,221 with Prime Factorization

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

17 x 29 x 977 x 13 = 6261593

Therefore, the lowest common multiple of 493,977,221 is 6261593.

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.

493 x 977 x 221 = 106447081

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.

493 : 1, 17, 29, 493

977 : 1, 977

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,977,221, is 1.

Now, the common factors can be found like this.

493:17x 29

977:977

221:13x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 106447081/(1x17)

LCM = 106447081/17

LCM = 6261593

Thus, we can understand that the LCM of 493,977,221 is 6261593.

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

• LCM of 953, 793, 867
• LCM of 763, 556, 238
• LCM of 601, 676, 229
• LCM of 674, 235, 826
• LCM of 152, 110, 624

1. What is the LCM of 493, 977, 221?

Answer: LCM of 493, 977, 221 is 6261593.

2. How to calculate the LCM of 493, 977, 221?

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 493, 977, 221.

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}.