Given numbers are 902,184,720,212,286

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

The LCM of 902,184,720,212,286 is 5145837840.

Find LCM of 902,184,720,212,286 with Prime Factorization

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

2 x 2 x 2 x 11 x 41 x 23 x 90 x 53 x 13 = 5145837840

Therefore, the lowest common multiple of 902,184,720,212,286 is 5145837840.

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.

902 x 184 x 720 x 212 x 286 = 7245339678720

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.

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

184 : 1, 2, 4, 8, 23, 46, 92, 184

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

212 : 1, 2, 4, 53, 106, 212

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,184,720,212,286, is 2.

Now, the common factors can be found like this.

902:2x 11x 41

184:2x 2x 2x 23

720:2x 2x 2x 2x 3x 3x 5

212:2x 2x 53

286:2x 11x 13

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 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 7245339678720/(2x704)

LCM = 7245339678720/1408

LCM = 5145837840

Thus, we can understand that the LCM of 902,184,720,212,286 is 5145837840.

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

• LCM of 128, 343, 348, 528, 155
• LCM of 795, 222, 908, 851, 105
• LCM of 781, 702, 991, 934, 275
• LCM of 809, 941, 661, 866, 588
• LCM of 879, 443, 865, 665, 595

1. What is the LCM of 902, 184, 720, 212, 286?

Answer: LCM of 902, 184, 720, 212, 286 is 5145837840.

2. How to calculate the LCM of 902, 184, 720, 212, 286?

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 902, 184, 720, 212, 286.

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}.