Given numbers are 362,464,204,77

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

The LCM of 362,464,204,77 is 329805168.

Find LCM of 362,464,204,77 with Prime Factorization

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

2 x 2 x 181 x 116 x 51 x 77 = 329805168

Therefore, the lowest common multiple of 362,464,204,77 is 329805168.

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.

362 x 464 x 204 x 77 = 2638441344

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.

362 : 1, 2, 181, 362

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

77 : 1, 7, 11, 77

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,464,204,77, is 1.

Now, the common factors can be found like this.

362:2x 181

464:2x 2x 2x 2x 29

204:2x 2x 3x 17

77:7x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2638441344/(1x8)

LCM = 2638441344/8

LCM = 329805168

Thus, we can understand that the LCM of 362,464,204,77 is 329805168.

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

• LCM of 989, 661, 388, 90
• LCM of 752, 509, 929, 99
• LCM of 213, 621, 258, 49
• LCM of 167, 122, 642, 61
• LCM of 818, 544, 388, 33

1. What is the LCM of 362, 464, 204, 77?

Answer: LCM of 362, 464, 204, 77 is 329805168.

2. How to calculate the LCM of 362, 464, 204, 77?

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 362, 464, 204, 77.

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}.