Given numbers are 747,15,783

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

The LCM of 747,15,783 is 324945.

Find LCM of 747,15,783 with Prime Factorization

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

3 x 3 x 83 x 5 x 87 = 324945

Therefore, the lowest common multiple of 747,15,783 is 324945.

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 15 x 783 = 8773515

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

15 : 1, 3, 5, 15

783 : 1, 3, 9, 27, 29, 87, 261, 783

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,15,783, is 3.

Now, the common factors can be found like this.

747:3x 3x 83

15:3x 5

783:3x 3x 3x 29

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 8773515/(3x9)

LCM = 8773515/27

LCM = 324945

Thus, we can understand that the LCM of 747,15,783 is 324945.

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

• LCM of 905, 28, 791
• LCM of 849, 94, 207
• LCM of 915, 87, 538
• LCM of 977, 32, 765
• LCM of 159, 58, 997

1. What is the LCM of 747, 15, 783?

Answer: LCM of 747, 15, 783 is 324945.

2. How to calculate the LCM of 747, 15, 783?

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, 15, 783.

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}.