Given numbers are 385,814,514,368,494

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

The LCM of 385,814,514,368,494 is 332767074640.

Find LCM of 385,814,514,368,494 with Prime Factorization

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

2 x 11 x 35 x 37 x 257 x 184 x 247 = 332767074640

Therefore, the lowest common multiple of 385,814,514,368,494 is 332767074640.

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.

385 x 814 x 514 x 368 x 494 = 29283502568320

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

814 : 1, 2, 11, 22, 37, 74, 407, 814

514 : 1, 2, 257, 514

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,814,514,368,494, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

814:2x 11x 37

514:2x 257

368:2x 2x 2x 2x 23

494:2x 13x 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 2x 2x 11 = 88

Therefore, the value for common factors is 88.

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 = 29283502568320/(1x88)

LCM = 29283502568320/88

LCM = 332767074640

Thus, we can understand that the LCM of 385,814,514,368,494 is 332767074640.

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

• LCM of 392, 148, 563, 975, 758
• LCM of 461, 945, 618, 429, 971
• LCM of 459, 172, 928, 302, 129
• LCM of 763, 813, 331, 472, 460
• LCM of 561, 474, 149, 500, 764

1. What is the LCM of 385, 814, 514, 368, 494?

Answer: LCM of 385, 814, 514, 368, 494 is 332767074640.

2. How to calculate the LCM of 385, 814, 514, 368, 494?

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 385, 814, 514, 368, 494.

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}.