Given numbers are 355,116,413,378

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

The LCM of 355,116,413,378 is 459198180.

Find LCM of 355,116,413,378 with Prime Factorization

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

2 x 7 x 355 x 58 x 59 x 27 = 459198180

Therefore, the lowest common multiple of 355,116,413,378 is 459198180.

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.

355 x 116 x 413 x 378 = 6428774520

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.

355 : 1, 5, 71, 355

116 : 1, 2, 4, 29, 58, 116

413 : 1, 7, 59, 413

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,116,413,378, is 1.

Now, the common factors can be found like this.

355:5x 71

116:2x 2x 29

413:7x 59

378:2x 3x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 6428774520/(1x14)

LCM = 6428774520/14

LCM = 459198180

Thus, we can understand that the LCM of 355,116,413,378 is 459198180.

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

• LCM of 896, 998, 561, 661
• LCM of 386, 176, 310, 703
• LCM of 805, 414, 813, 185
• LCM of 943, 607, 523, 321
• LCM of 156, 751, 590, 467

1. What is the LCM of 355, 116, 413, 378?

Answer: LCM of 355, 116, 413, 378 is 459198180.

2. How to calculate the LCM of 355, 116, 413, 378?

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 355, 116, 413, 378.

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}.