Given numbers are 364,162,130,281,296

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

The LCM of 364,162,130,281,296 is 3065451480.

Find LCM of 364,162,130,281,296 with Prime Factorization

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

2 x 2 x 13 x 7 x 81 x 5 x 281 x 74 = 3065451480

Therefore, the lowest common multiple of 364,162,130,281,296 is 3065451480.

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 162 x 130 x 281 x 296 = 637613907840

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

130 : 1, 2, 5, 10, 13, 26, 65, 130

281 : 1, 281

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,162,130,281,296, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

162:2x 3x 3x 3x 3

130:2x 5x 13

281:281

296:2x 2x 2x 37

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 13 = 208

Therefore, the value for common factors is 208.

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 = 637613907840/(1x208)

LCM = 637613907840/208

LCM = 3065451480

Thus, we can understand that the LCM of 364,162,130,281,296 is 3065451480.

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

• LCM of 253, 871, 327, 972, 221
• LCM of 352, 111, 799, 322, 819
• LCM of 294, 555, 509, 834, 223
• LCM of 779, 496, 690, 712, 735
• LCM of 930, 279, 728, 152, 547

1. What is the LCM of 364, 162, 130, 281, 296?

Answer: LCM of 364, 162, 130, 281, 296 is 3065451480.

2. How to calculate the LCM of 364, 162, 130, 281, 296?

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, 162, 130, 281, 296.

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}.