Given numbers are 728,209,507

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

The LCM of 728,209,507 is 5933928.

Find LCM of 728,209,507 with Prime Factorization

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

13 x 56 x 209 x 39 = 5933928

Therefore, the lowest common multiple of 728,209,507 is 5933928.

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.

728 x 209 x 507 = 77141064

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

209 : 1, 11, 19, 209

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,209,507, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

209:11x 19

507:3x 13x 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 = 77141064/(1x13)

LCM = 77141064/13

LCM = 5933928

Thus, we can understand that the LCM of 728,209,507 is 5933928.

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

• LCM of 450, 712, 407
• LCM of 855, 182, 885
• LCM of 812, 710, 385
• LCM of 993, 681, 368
• LCM of 824, 854, 424

1. What is the LCM of 728, 209, 507?

Answer: LCM of 728, 209, 507 is 5933928.

2. How to calculate the LCM of 728, 209, 507?

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 728, 209, 507.

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}.