Given numbers are 790,115,304,289

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

The LCM of 790,115,304,289 is 798171760.

Find LCM of 790,115,304,289 with Prime Factorization

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

2 x 5 x 79 x 23 x 152 x 289 = 798171760

Therefore, the lowest common multiple of 790,115,304,289 is 798171760.

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.

790 x 115 x 304 x 289 = 7981717600

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

115 : 1, 5, 23, 115

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,115,304,289, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

115:5x 23

304:2x 2x 2x 2x 19

289:17x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 7981717600/(1x10)

LCM = 7981717600/10

LCM = 798171760

Thus, we can understand that the LCM of 790,115,304,289 is 798171760.

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

• LCM of 967, 698, 839, 165
• LCM of 542, 893, 647, 228
• LCM of 925, 208, 628, 934
• LCM of 132, 391, 150, 614
• LCM of 973, 490, 338, 883

1. What is the LCM of 790, 115, 304, 289?

Answer: LCM of 790, 115, 304, 289 is 798171760.

2. How to calculate the LCM of 790, 115, 304, 289?

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 790, 115, 304, 289.

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}.