Given numbers are 293,221,660,408,988

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

The LCM of 293,221,660,408,988 is 1624005240.

Find LCM of 293,221,660,408,988 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 293 x 1 x 55 x 2 x 19 = 1624005240

Therefore, the lowest common multiple of 293,221,660,408,988 is 1624005240.

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.

293 x 221 x 660 x 408 x 988 = 17227447585920

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.

293 : 1, 293

221 : 1, 13, 17, 221

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,221,660,408,988, is 1.

Now, the common factors can be found like this.

293:293

221:13x 17

660:2x 2x 3x 5x 11

408:2x 2x 2x 3x 17

988:2x 2x 13x 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 2x 2x 2x 3x 13x 17 = 10608

Therefore, the value for common factors is 10608.

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 = 17227447585920/(1x10608)

LCM = 17227447585920/10608

LCM = 1624005240

Thus, we can understand that the LCM of 293,221,660,408,988 is 1624005240.

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

• LCM of 349, 372, 721, 424, 316
• LCM of 627, 492, 518, 931, 191
• LCM of 609, 219, 131, 763, 659
• LCM of 539, 136, 241, 844, 501
• LCM of 755, 422, 630, 617, 522

1. What is the LCM of 293, 221, 660, 408, 988?

Answer: LCM of 293, 221, 660, 408, 988 is 1624005240.

2. How to calculate the LCM of 293, 221, 660, 408, 988?

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 293, 221, 660, 408, 988.

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}.