Given numbers are 493,143,374,695

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

The LCM of 493,143,374,695 is 97993610.

Find LCM of 493,143,374,695 with Prime Factorization

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

11 x 17 x 29 x 13 x 2 x 695 = 97993610

Therefore, the lowest common multiple of 493,143,374,695 is 97993610.

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 143 x 374 x 695 = 18324805070

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

143 : 1, 11, 13, 143

374 : 1, 2, 11, 17, 22, 34, 187, 374

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,143,374,695, is 1.

Now, the common factors can be found like this.

493:17x 29

143:11x 13

374:2x 11x 17

695:5x 139

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 18324805070/(1x187)

LCM = 18324805070/187

LCM = 97993610

Thus, we can understand that the LCM of 493,143,374,695 is 97993610.

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

• LCM of 367, 127, 296, 222
• LCM of 360, 141, 745, 735
• LCM of 976, 192, 595, 630
• LCM of 322, 805, 709, 121
• LCM of 240, 227, 598, 186

1. What is the LCM of 493, 143, 374, 695?

Answer: LCM of 493, 143, 374, 695 is 97993610.

2. How to calculate the LCM of 493, 143, 374, 695?

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, 143, 374, 695.

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}.