Given numbers are 338,296,909,270,651

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

The LCM of 338,296,909,270,651 is 148010761080.

Find LCM of 338,296,909,270,651 with Prime Factorization

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

2 x 3 x 3 x 169 x 148 x 101 x 15 x 217 = 148010761080

Therefore, the lowest common multiple of 338,296,909,270,651 is 148010761080.

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.

338 x 296 x 909 x 270 x 651 = 15985162196640

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.

338 : 1, 2, 13, 26, 169, 338

296 : 1, 2, 4, 8, 37, 74, 148, 296

909 : 1, 3, 9, 101, 303, 909

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

651 : 1, 3, 7, 21, 31, 93, 217, 651

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,296,909,270,651, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

296:2x 2x 2x 37

909:3x 3x 101

270:2x 3x 3x 3x 5

651:3x 7x 31

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 15985162196640/(1x108)

LCM = 15985162196640/108

LCM = 148010761080

Thus, we can understand that the LCM of 338,296,909,270,651 is 148010761080.

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

• LCM of 695, 647, 178, 901, 196
• LCM of 191, 410, 196, 361, 379
• LCM of 344, 864, 389, 871, 731
• LCM of 540, 796, 616, 584, 497
• LCM of 150, 723, 112, 488, 347

1. What is the LCM of 338, 296, 909, 270, 651?

Answer: LCM of 338, 296, 909, 270, 651 is 148010761080.

2. How to calculate the LCM of 338, 296, 909, 270, 651?

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 338, 296, 909, 270, 651.

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}.