Given numbers are 614,972,397,365,493

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

The LCM of 614,972,397,365,493 is 21317434188660.

Find LCM of 614,972,397,365,493 with Prime Factorization

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

2 x 307 x 486 x 397 x 365 x 493 = 21317434188660

Therefore, the lowest common multiple of 614,972,397,365,493 is 21317434188660.

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 972 x 397 x 365 x 493 = 42634868377320

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

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

397 : 1, 397

365 : 1, 5, 73, 365

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,972,397,365,493, is 1.

Now, the common factors can be found like this.

614:2x 307

972:2x 2x 3x 3x 3x 3x 3

397:397

365:5x 73

493:17x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 42634868377320/(1x2)

LCM = 42634868377320/2

LCM = 21317434188660

Thus, we can understand that the LCM of 614,972,397,365,493 is 21317434188660.

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

• LCM of 745, 697, 614, 100, 933
• LCM of 119, 413, 427, 459, 575
• LCM of 760, 122, 212, 607, 227
• LCM of 818, 395, 113, 419, 789
• LCM of 963, 681, 441, 550, 396

1. What is the LCM of 614, 972, 397, 365, 493?

Answer: LCM of 614, 972, 397, 365, 493 is 21317434188660.

2. How to calculate the LCM of 614, 972, 397, 365, 493?

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, 972, 397, 365, 493.

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}.