Given numbers are 367,378,113,310,356

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

The LCM of 367,378,113,310,356 is 432501888420.

Find LCM of 367,378,113,310,356 with Prime Factorization

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

2 x 367 x 189 x 113 x 155 x 178 = 432501888420

Therefore, the lowest common multiple of 367,378,113,310,356 is 432501888420.

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.

367 x 378 x 113 x 310 x 356 = 1730007553680

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.

367 : 1, 367

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

113 : 1, 113

310 : 1, 2, 5, 10, 31, 62, 155, 310

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,378,113,310,356, is 1.

Now, the common factors can be found like this.

367:367

378:2x 3x 3x 3x 7

113:113

310:2x 5x 31

356:2x 2x 89

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 = 1730007553680/(1x4)

LCM = 1730007553680/4

LCM = 432501888420

Thus, we can understand that the LCM of 367,378,113,310,356 is 432501888420.

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

• LCM of 717, 458, 673, 101, 765
• LCM of 849, 285, 263, 245, 294
• LCM of 694, 663, 195, 441, 163
• LCM of 486, 339, 466, 463, 739
• LCM of 589, 121, 142, 631, 100

1. What is the LCM of 367, 378, 113, 310, 356?

Answer: LCM of 367, 378, 113, 310, 356 is 432501888420.

2. How to calculate the LCM of 367, 378, 113, 310, 356?

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 367, 378, 113, 310, 356.

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}.