Given numbers are 358,112,343,198

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

The LCM of 358,112,343,198 is 97252848.

Find LCM of 358,112,343,198 with Prime Factorization

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

2 x 7 x 179 x 8 x 49 x 99 = 97252848

Therefore, the lowest common multiple of 358,112,343,198 is 97252848.

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.

358 x 112 x 343 x 198 = 2723079744

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.

358 : 1, 2, 179, 358

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

343 : 1, 7, 49, 343

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,112,343,198, is 1.

Now, the common factors can be found like this.

358:2x 179

112:2x 2x 2x 2x 7

343:7x 7x 7

198:2x 3x 3x 11

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 7 = 28

Therefore, the value for common factors is 28.

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 = 2723079744/(1x28)

LCM = 2723079744/28

LCM = 97252848

Thus, we can understand that the LCM of 358,112,343,198 is 97252848.

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

• LCM of 523, 146, 746, 115
• LCM of 804, 988, 352, 589
• LCM of 568, 683, 798, 235
• LCM of 574, 358, 752, 723
• LCM of 661, 537, 944, 849

1. What is the LCM of 358, 112, 343, 198?

Answer: LCM of 358, 112, 343, 198 is 97252848.

2. How to calculate the LCM of 358, 112, 343, 198?

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 358, 112, 343, 198.

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}.