Given numbers are 392,336,357,758,614

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

The LCM of 392,336,357,758,614 is 4652258352.

Find LCM of 392,336,357,758,614 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 7 x 2 x 17 x 379 x 307 = 4652258352

Therefore, the lowest common multiple of 392,336,357,758,614 is 4652258352.

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.

392 x 336 x 357 x 758 x 614 = 21884223287808

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

357 : 1, 3, 7, 17, 21, 51, 119, 357

758 : 1, 2, 379, 758

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,336,357,758,614, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

336:2x 2x 2x 2x 3x 7

357:3x 7x 17

758:2x 379

614:2x 307

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 2x 2x 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 21884223287808/(1x4704)

LCM = 21884223287808/4704

LCM = 4652258352

Thus, we can understand that the LCM of 392,336,357,758,614 is 4652258352.

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

• LCM of 566, 495, 931, 455, 766
• LCM of 137, 293, 489, 428, 468
• LCM of 160, 683, 231, 780, 626
• LCM of 700, 931, 424, 675, 809
• LCM of 779, 160, 162, 745, 147

1. What is the LCM of 392, 336, 357, 758, 614?

Answer: LCM of 392, 336, 357, 758, 614 is 4652258352.

2. How to calculate the LCM of 392, 336, 357, 758, 614?

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 392, 336, 357, 758, 614.

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}.