Given numbers are 807,214,151,470,460

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

The LCM of 807,214,151,470,460 is 281896672380.

Find LCM of 807,214,151,470,460 with Prime Factorization

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

2 x 5 x 807 x 107 x 151 x 47 x 46 = 281896672380

Therefore, the lowest common multiple of 807,214,151,470,460 is 281896672380.

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.

807 x 214 x 151 x 470 x 460 = 5637933447600

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.

807 : 1, 3, 269, 807

214 : 1, 2, 107, 214

151 : 1, 151

470 : 1, 2, 5, 10, 47, 94, 235, 470

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,214,151,470,460, is 1.

Now, the common factors can be found like this.

807:3x 269

214:2x 107

151:151

470:2x 5x 47

460:2x 2x 5x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 5637933447600/(1x20)

LCM = 5637933447600/20

LCM = 281896672380

Thus, we can understand that the LCM of 807,214,151,470,460 is 281896672380.

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

• LCM of 382, 280, 655, 495, 118
• LCM of 729, 648, 163, 723, 996
• LCM of 525, 440, 173, 696, 187
• LCM of 538, 671, 501, 585, 841
• LCM of 767, 294, 579, 563, 137

1. What is the LCM of 807, 214, 151, 470, 460?

Answer: LCM of 807, 214, 151, 470, 460 is 281896672380.

2. How to calculate the LCM of 807, 214, 151, 470, 460?

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 807, 214, 151, 470, 460.

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}.