Given numbers are 674,715,819

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

The LCM of 674,715,819 is 30360330.

Find LCM of 674,715,819 with Prime Factorization

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

13 x 674 x 55 x 63 = 30360330

Therefore, the lowest common multiple of 674,715,819 is 30360330.

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.

674 x 715 x 819 = 394684290

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.

674 : 1, 2, 337, 674

715 : 1, 5, 11, 13, 55, 65, 143, 715

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,715,819, is 1.

Now, the common factors can be found like this.

674:2x 337

715:5x 11x 13

819:3x 3x 7x 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 = 394684290/(1x13)

LCM = 394684290/13

LCM = 30360330

Thus, we can understand that the LCM of 674,715,819 is 30360330.

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

• LCM of 633, 333, 435
• LCM of 710, 584, 166
• LCM of 962, 838, 411
• LCM of 494, 455, 706
• LCM of 338, 640, 144

1. What is the LCM of 674, 715, 819?

Answer: LCM of 674, 715, 819 is 30360330.

2. How to calculate the LCM of 674, 715, 819?

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 674, 715, 819.

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}.