Given numbers are 305,153,390,398,704

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

The LCM of 305,153,390,398,704 is 84988537920.

Find LCM of 305,153,390,398,704 with Prime Factorization

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

2 x 3 x 5 x 61 x 51 x 13 x 199 x 352 = 84988537920

Therefore, the lowest common multiple of 305,153,390,398,704 is 84988537920.

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.

305 x 153 x 390 x 398 x 704 = 5099312275200

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.

305 : 1, 5, 61, 305

153 : 1, 3, 9, 17, 51, 153

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

398 : 1, 2, 199, 398

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,153,390,398,704, is 1.

Now, the common factors can be found like this.

305:5x 61

153:3x 3x 17

390:2x 3x 5x 13

398:2x 199

704:2x 2x 2x 2x 2x 2x 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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 5099312275200/(1x60)

LCM = 5099312275200/60

LCM = 84988537920

Thus, we can understand that the LCM of 305,153,390,398,704 is 84988537920.

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

• LCM of 884, 444, 774, 192, 982
• LCM of 373, 231, 620, 649, 432
• LCM of 459, 559, 655, 929, 225
• LCM of 742, 342, 196, 347, 210
• LCM of 442, 692, 779, 999, 740

1. What is the LCM of 305, 153, 390, 398, 704?

Answer: LCM of 305, 153, 390, 398, 704 is 84988537920.

2. How to calculate the LCM of 305, 153, 390, 398, 704?

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 305, 153, 390, 398, 704.

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}.