Given numbers are 493,986,718,120,598

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

The LCM of 493,986,718,120,598 is 6350293560.

Find LCM of 493,986,718,120,598 with Prime Factorization

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

2 x 17 x 29 x 1 x 1 x 359 x 60 x 299 = 6350293560

Therefore, the lowest common multiple of 493,986,718,120,598 is 6350293560.

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.

493 x 986 x 718 x 120 x 598 = 25045557800640

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.

493 : 1, 17, 29, 493

986 : 1, 2, 17, 29, 34, 58, 493, 986

718 : 1, 2, 359, 718

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,986,718,120,598, is 1.

Now, the common factors can be found like this.

493:17x 29

986:2x 17x 29

718:2x 359

120:2x 2x 2x 3x 5

598:2x 13x 23

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 17x 29 = 3944

Therefore, the value for common factors is 3944.

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 = 25045557800640/(1x3944)

LCM = 25045557800640/3944

LCM = 6350293560

Thus, we can understand that the LCM of 493,986,718,120,598 is 6350293560.

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

• LCM of 257, 200, 134, 897, 377
• LCM of 391, 768, 245, 260, 308
• LCM of 871, 433, 619, 116, 600
• LCM of 683, 298, 403, 201, 291
• LCM of 560, 100, 924, 634, 996

1. What is the LCM of 493, 986, 718, 120, 598?

Answer: LCM of 493, 986, 718, 120, 598 is 6350293560.

2. How to calculate the LCM of 493, 986, 718, 120, 598?

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 493, 986, 718, 120, 598.

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}.