Given numbers are 353,986,998,461,684

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

The LCM of 353,986,998,461,684 is 27382884677604.

Find LCM of 353,986,998,461,684 with Prime Factorization

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

2 x 353 x 493 x 499 x 461 x 342 = 27382884677604

Therefore, the lowest common multiple of 353,986,998,461,684 is 27382884677604.

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.

353 x 986 x 998 x 461 x 684 = 109531538710416

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.

353 : 1, 353

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

998 : 1, 2, 499, 998

461 : 1, 461

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,986,998,461,684, is 1.

Now, the common factors can be found like this.

353:353

986:2x 17x 29

998:2x 499

461:461

684:2x 2x 3x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 109531538710416/(1x4)

LCM = 109531538710416/4

LCM = 27382884677604

Thus, we can understand that the LCM of 353,986,998,461,684 is 27382884677604.

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

• LCM of 824, 822, 697, 852, 587
• LCM of 489, 954, 314, 846, 643
• LCM of 152, 406, 548, 138, 898
• LCM of 303, 454, 296, 833, 826
• LCM of 593, 215, 270, 260, 553

1. What is the LCM of 353, 986, 998, 461, 684?

Answer: LCM of 353, 986, 998, 461, 684 is 27382884677604.

2. How to calculate the LCM of 353, 986, 998, 461, 684?

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 353, 986, 998, 461, 684.

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}.