Given numbers are 493,515,340,969

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

The LCM of 493,515,340,969 is 57888060.

Find LCM of 493,515,340,969 with Prime Factorization

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

5 x 17 x 29 x 103 x 4 x 57 = 57888060

Therefore, the lowest common multiple of 493,515,340,969 is 57888060.

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.

493 x 515 x 340 x 969 = 83648246700

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.

493 : 1, 17, 29, 493

515 : 1, 5, 103, 515

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,515,340,969, is 1.

Now, the common factors can be found like this.

493:17x 29

515:5x 103

340:2x 2x 5x 17

969:3x 17x 19

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

5x 17x 17 = 1445

Therefore, the value for common factors is 1445.

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 = 83648246700/(1x1445)

LCM = 83648246700/1445

LCM = 57888060

Thus, we can understand that the LCM of 493,515,340,969 is 57888060.

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

• LCM of 965, 410, 903, 934
• LCM of 612, 540, 140, 753
• LCM of 654, 832, 955, 541
• LCM of 697, 139, 108, 352
• LCM of 265, 710, 903, 951

1. What is the LCM of 493, 515, 340, 969?

Answer: LCM of 493, 515, 340, 969 is 57888060.

2. How to calculate the LCM of 493, 515, 340, 969?

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 493, 515, 340, 969.

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}.