Given numbers are 747,509,519

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

The LCM of 747,509,519 is 65778579.

Find LCM of 747,509,519 with Prime Factorization

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

3 x 249 x 509 x 173 = 65778579

Therefore, the lowest common multiple of 747,509,519 is 65778579.

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.

747 x 509 x 519 = 197335737

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.

747 : 1, 3, 9, 83, 249, 747

509 : 1, 509

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,509,519, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

509:509

519:3x 173

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

3 = 3

Therefore, the value for common factors is 3.

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 = 197335737/(1x3)

LCM = 197335737/3

LCM = 65778579

Thus, we can understand that the LCM of 747,509,519 is 65778579.

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

• LCM of 996, 398, 581
• LCM of 443, 896, 940
• LCM of 674, 993, 487
• LCM of 779, 206, 751
• LCM of 396, 947, 563

1. What is the LCM of 747, 509, 519?

Answer: LCM of 747, 509, 519 is 65778579.

2. How to calculate the LCM of 747, 509, 519?

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 747, 509, 519.

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}.