Given numbers are 996,172,146,350,358

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

The LCM of 996,172,146,350,358 is 97935858300.

Find LCM of 996,172,146,350,358 with Prime Factorization

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

2 x 2 x 249 x 43 x 73 x 175 x 179 = 97935858300

Therefore, the lowest common multiple of 996,172,146,350,358 is 97935858300.

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.

996 x 172 x 146 x 350 x 358 = 3133947465600

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

146 : 1, 2, 73, 146

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

358 : 1, 2, 179, 358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,172,146,350,358, is 2.

Now, the common factors can be found like this.

996:2x 2x 3x 83

172:2x 2x 43

146:2x 73

350:2x 5x 5x 7

358:2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3133947465600/(2x16)

LCM = 3133947465600/32

LCM = 97935858300

Thus, we can understand that the LCM of 996,172,146,350,358 is 97935858300.

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

• LCM of 137, 897, 449, 978, 605
• LCM of 512, 612, 302, 331, 741
• LCM of 262, 688, 698, 343, 981
• LCM of 870, 195, 877, 907, 688
• LCM of 937, 571, 488, 206, 384

1. What is the LCM of 996, 172, 146, 350, 358?

Answer: LCM of 996, 172, 146, 350, 358 is 97935858300.

2. How to calculate the LCM of 996, 172, 146, 350, 358?

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 996, 172, 146, 350, 358.

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}.