Given numbers are 724,976,676,319

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

The LCM of 724,976,676,319 is 9523701616.

Find LCM of 724,976,676,319 with Prime Factorization

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

2 x 2 x 181 x 244 x 169 x 319 = 9523701616

Therefore, the lowest common multiple of 724,976,676,319 is 9523701616.

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.

724 x 976 x 676 x 319 = 152379225856

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.

724 : 1, 2, 4, 181, 362, 724

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,976,676,319, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

976:2x 2x 2x 2x 61

676:2x 2x 13x 13

319:11x 29

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 152379225856/(1x16)

LCM = 152379225856/16

LCM = 9523701616

Thus, we can understand that the LCM of 724,976,676,319 is 9523701616.

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

• LCM of 877, 878, 142, 818
• LCM of 196, 896, 655, 612
• LCM of 468, 148, 705, 726
• LCM of 669, 567, 532, 691
• LCM of 443, 339, 985, 965

1. What is the LCM of 724, 976, 676, 319?

Answer: LCM of 724, 976, 676, 319 is 9523701616.

2. How to calculate the LCM of 724, 976, 676, 319?

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 724, 976, 676, 319.

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}.