Given numbers are 722,585,493,143

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

The LCM of 722,585,493,143 is 2290512510.

Find LCM of 722,585,493,143 with Prime Factorization

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

13 x 722 x 45 x 493 x 11 = 2290512510

Therefore, the lowest common multiple of 722,585,493,143 is 2290512510.

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.

722 x 585 x 493 x 143 = 29776662630

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.

722 : 1, 2, 19, 38, 361, 722

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

493 : 1, 17, 29, 493

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,585,493,143, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

585:3x 3x 5x 13

493:17x 29

143:11x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 29776662630/(1x13)

LCM = 29776662630/13

LCM = 2290512510

Thus, we can understand that the LCM of 722,585,493,143 is 2290512510.

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

• LCM of 387, 741, 245, 761
• LCM of 766, 486, 158, 401
• LCM of 236, 518, 421, 117
• LCM of 421, 863, 354, 341
• LCM of 871, 692, 570, 233

1. What is the LCM of 722, 585, 493, 143?

Answer: LCM of 722, 585, 493, 143 is 2290512510.

2. How to calculate the LCM of 722, 585, 493, 143?

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 722, 585, 493, 143.

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}.