Given numbers are 902,302,214,643

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

The LCM of 902,302,214,643 is 9370833802.

Find LCM of 902,302,214,643 with Prime Factorization

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

2 x 451 x 151 x 107 x 643 = 9370833802

Therefore, the lowest common multiple of 902,302,214,643 is 9370833802.

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 302 x 214 x 643 = 37483335208

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

302 : 1, 2, 151, 302

214 : 1, 2, 107, 214

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,302,214,643, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

302:2x 151

214:2x 107

643:643

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 = 37483335208/(1x4)

LCM = 37483335208/4

LCM = 9370833802

Thus, we can understand that the LCM of 902,302,214,643 is 9370833802.

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

• LCM of 380, 887, 289, 306
• LCM of 164, 435, 251, 869
• LCM of 415, 622, 173, 695
• LCM of 608, 750, 297, 674
• LCM of 211, 147, 328, 804

1. What is the LCM of 902, 302, 214, 643?

Answer: LCM of 902, 302, 214, 643 is 9370833802.

2. How to calculate the LCM of 902, 302, 214, 643?

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, 302, 214, 643.

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}.