Given numbers are 362,116,493

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

The LCM of 362,116,493 is 356932.

Find LCM of 362,116,493 with Prime Factorization

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

2 x 29 x 181 x 2 x 17 = 356932

Therefore, the lowest common multiple of 362,116,493 is 356932.

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.

362 x 116 x 493 = 20702056

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.

362 : 1, 2, 181, 362

116 : 1, 2, 4, 29, 58, 116

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,116,493, is 1.

Now, the common factors can be found like this.

362:2x 181

116:2x 2x 29

493:17x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 20702056/(1x58)

LCM = 20702056/58

LCM = 356932

Thus, we can understand that the LCM of 362,116,493 is 356932.

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

• LCM of 403, 145, 432
• LCM of 601, 362, 309
• LCM of 312, 328, 428
• LCM of 415, 170, 794
• LCM of 807, 689, 393

1. What is the LCM of 362, 116, 493?

Answer: LCM of 362, 116, 493 is 356932.

2. How to calculate the LCM of 362, 116, 493?

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 362, 116, 493.

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}.