Given numbers are 494,271,585,377

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

The LCM of 494,271,585,377 is 174705570.

Find LCM of 494,271,585,377 with Prime Factorization

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

13 x 38 x 271 x 45 x 29 = 174705570

Therefore, the lowest common multiple of 494,271,585,377 is 174705570.

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.

494 x 271 x 585 x 377 = 29525241330

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

271 : 1, 271

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,271,585,377, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

271:271

585:3x 3x 5x 13

377:13x 29

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 29525241330/(1x169)

LCM = 29525241330/169

LCM = 174705570

Thus, we can understand that the LCM of 494,271,585,377 is 174705570.

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

• LCM of 628, 839, 142, 637
• LCM of 650, 558, 288, 366
• LCM of 987, 192, 399, 856
• LCM of 707, 533, 258, 114
• LCM of 483, 939, 461, 678

1. What is the LCM of 494, 271, 585, 377?

Answer: LCM of 494, 271, 585, 377 is 174705570.

2. How to calculate the LCM of 494, 271, 585, 377?

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 494, 271, 585, 377.

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}.