Given numbers are 364,378,681,805,357

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

The LCM of 364,378,681,805,357 is 4361518980.

Find LCM of 364,378,681,805,357 with Prime Factorization

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

2 x 3 x 7 x 26 x 9 x 227 x 115 x 17 = 4361518980

Therefore, the lowest common multiple of 364,378,681,805,357 is 4361518980.

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.

364 x 378 x 681 x 805 x 357 = 26928018182520

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

681 : 1, 3, 227, 681

805 : 1, 5, 7, 23, 35, 115, 161, 805

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,378,681,805,357, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

378:2x 3x 3x 3x 7

681:3x 227

805:5x 7x 23

357:3x 7x 17

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

2x 3x 3x 7x 7x 7 = 6174

Therefore, the value for common factors is 6174.

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 = 26928018182520/(1x6174)

LCM = 26928018182520/6174

LCM = 4361518980

Thus, we can understand that the LCM of 364,378,681,805,357 is 4361518980.

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

• LCM of 910, 122, 731, 910, 652
• LCM of 386, 736, 464, 873, 490
• LCM of 504, 585, 949, 138, 665
• LCM of 752, 466, 347, 862, 348
• LCM of 960, 949, 339, 485, 841

1. What is the LCM of 364, 378, 681, 805, 357?

Answer: LCM of 364, 378, 681, 805, 357 is 4361518980.

2. How to calculate the LCM of 364, 378, 681, 805, 357?

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 364, 378, 681, 805, 357.

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}.