Given numbers are 614,374,389,238,792

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

The LCM of 614,374,389,238,792 is 11255378904.

Find LCM of 614,374,389,238,792 with Prime Factorization

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

2 x 11 x 17 x 307 x 1 x 389 x 7 x 36 = 11255378904

Therefore, the lowest common multiple of 614,374,389,238,792 is 11255378904.

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.

614 x 374 x 389 x 238 x 792 = 16838046840384

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.

614 : 1, 2, 307, 614

374 : 1, 2, 11, 17, 22, 34, 187, 374

389 : 1, 389

238 : 1, 2, 7, 14, 17, 34, 119, 238

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,374,389,238,792, is 1.

Now, the common factors can be found like this.

614:2x 307

374:2x 11x 17

389:389

238:2x 7x 17

792:2x 2x 2x 3x 3x 11

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 16838046840384/(1x1496)

LCM = 16838046840384/1496

LCM = 11255378904

Thus, we can understand that the LCM of 614,374,389,238,792 is 11255378904.

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

• LCM of 287, 202, 732, 675, 509
• LCM of 510, 336, 759, 906, 112
• LCM of 806, 225, 515, 434, 922
• LCM of 491, 182, 345, 166, 473
• LCM of 386, 429, 941, 495, 471

1. What is the LCM of 614, 374, 389, 238, 792?

Answer: LCM of 614, 374, 389, 238, 792 is 11255378904.

2. How to calculate the LCM of 614, 374, 389, 238, 792?

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 614, 374, 389, 238, 792.

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}.