Given numbers are 310,492,721,172

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

The LCM of 310,492,721,172 is 2364288780.

Find LCM of 310,492,721,172 with Prime Factorization

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

2 x 2 x 155 x 123 x 721 x 43 = 2364288780

Therefore, the lowest common multiple of 310,492,721,172 is 2364288780.

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.

310 x 492 x 721 x 172 = 18914310240

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

721 : 1, 7, 103, 721

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,492,721,172, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

492:2x 2x 3x 41

721:7x 103

172:2x 2x 43

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 = 18914310240/(1x8)

LCM = 18914310240/8

LCM = 2364288780

Thus, we can understand that the LCM of 310,492,721,172 is 2364288780.

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

• LCM of 917, 142, 816, 700
• LCM of 296, 730, 421, 466
• LCM of 544, 232, 171, 147
• LCM of 223, 406, 368, 945
• LCM of 719, 735, 734, 196

1. What is the LCM of 310, 492, 721, 172?

Answer: LCM of 310, 492, 721, 172 is 2364288780.

2. How to calculate the LCM of 310, 492, 721, 172?

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 310, 492, 721, 172.

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}.