Given numbers are 493,894,149,379,380

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

The LCM of 493,894,149,379,380 is 31737831420.

Find LCM of 493,894,149,379,380 with Prime Factorization

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

2 x 149 x 493 x 3 x 1 x 379 x 190 = 31737831420

Therefore, the lowest common multiple of 493,894,149,379,380 is 31737831420.

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 894 x 149 x 379 x 380 = 9457873763160

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

149 : 1, 149

379 : 1, 379

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,894,149,379,380, is 1.

Now, the common factors can be found like this.

493:17x 29

894:2x 3x 149

149:149

379:379

380:2x 2x 5x 19

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 9457873763160/(1x298)

LCM = 9457873763160/298

LCM = 31737831420

Thus, we can understand that the LCM of 493,894,149,379,380 is 31737831420.

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

• LCM of 998, 906, 626, 636, 675
• LCM of 897, 715, 793, 885, 470
• LCM of 326, 196, 569, 583, 320
• LCM of 423, 877, 648, 140, 914
• LCM of 559, 383, 652, 464, 909

1. What is the LCM of 493, 894, 149, 379, 380?

Answer: LCM of 493, 894, 149, 379, 380 is 31737831420.

2. How to calculate the LCM of 493, 894, 149, 379, 380?

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, 894, 149, 379, 380.

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}.