Given numbers are 132,104,415,468,354

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

The LCM of 132,104,415,468,354 is 252097560.

Find LCM of 132,104,415,468,354 with Prime Factorization

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

2 x 2 x 3 x 13 x 11 x 2 x 415 x 3 x 59 = 252097560

Therefore, the lowest common multiple of 132,104,415,468,354 is 252097560.

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.

132 x 104 x 415 x 468 x 354 = 943853264640

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

104 : 1, 2, 4, 8, 13, 26, 52, 104

415 : 1, 5, 83, 415

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,104,415,468,354, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

104:2x 2x 2x 13

415:5x 83

468:2x 2x 3x 3x 13

354:2x 3x 59

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 2x 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 943853264640/(1x3744)

LCM = 943853264640/3744

LCM = 252097560

Thus, we can understand that the LCM of 132,104,415,468,354 is 252097560.

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

• LCM of 962, 339, 847, 572, 451
• LCM of 280, 402, 214, 585, 485
• LCM of 447, 149, 975, 872, 124
• LCM of 243, 946, 154, 763, 110
• LCM of 301, 870, 677, 910, 718

1. What is the LCM of 132, 104, 415, 468, 354?

Answer: LCM of 132, 104, 415, 468, 354 is 252097560.

2. How to calculate the LCM of 132, 104, 415, 468, 354?

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 132, 104, 415, 468, 354.

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}.