Given numbers are 352,468,107,331

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

The LCM of 352,468,107,331 is 1458613728.

Find LCM of 352,468,107,331 with Prime Factorization

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

2 x 2 x 88 x 117 x 107 x 331 = 1458613728

Therefore, the lowest common multiple of 352,468,107,331 is 1458613728.

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.

352 x 468 x 107 x 331 = 5834454912

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

107 : 1, 107

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,468,107,331, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

468:2x 2x 3x 3x 13

107:107

331:331

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 = 5834454912/(1x4)

LCM = 5834454912/4

LCM = 1458613728

Thus, we can understand that the LCM of 352,468,107,331 is 1458613728.

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

• LCM of 745, 905, 819, 257
• LCM of 277, 126, 884, 116
• LCM of 144, 461, 816, 735
• LCM of 849, 677, 595, 860
• LCM of 105, 891, 172, 973

1. What is the LCM of 352, 468, 107, 331?

Answer: LCM of 352, 468, 107, 331 is 1458613728.

2. How to calculate the LCM of 352, 468, 107, 331?

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 352, 468, 107, 331.

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}.