Given numbers are 302,280,214,754,902

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

The LCM of 302,280,214,754,902 is 769195346920.

Find LCM of 302,280,214,754,902 with Prime Factorization

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

2 x 151 x 140 x 107 x 377 x 451 = 769195346920

Therefore, the lowest common multiple of 302,280,214,754,902 is 769195346920.

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.

302 x 280 x 214 x 754 x 902 = 12307125550720

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.

302 : 1, 2, 151, 302

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

214 : 1, 2, 107, 214

754 : 1, 2, 13, 26, 29, 58, 377, 754

902 : 1, 2, 11, 22, 41, 82, 451, 902

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,280,214,754,902, is 2.

Now, the common factors can be found like this.

302:2x 151

280:2x 2x 2x 5x 7

214:2x 107

754:2x 13x 29

902:2x 11x 41

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 2 = 8

Therefore, the value for common factors is 8.

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 = 12307125550720/(2x8)

LCM = 12307125550720/16

LCM = 769195346920

Thus, we can understand that the LCM of 302,280,214,754,902 is 769195346920.

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

• LCM of 974, 622, 712, 426, 585
• LCM of 500, 694, 306, 137, 315
• LCM of 946, 521, 581, 748, 486
• LCM of 211, 671, 999, 833, 908
• LCM of 447, 172, 144, 933, 796

1. What is the LCM of 302, 280, 214, 754, 902?

Answer: LCM of 302, 280, 214, 754, 902 is 769195346920.

2. How to calculate the LCM of 302, 280, 214, 754, 902?

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 302, 280, 214, 754, 902.

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}.