Given numbers are 587,209,407

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

The LCM of 587,209,407 is 4539271.

Find LCM of 587,209,407 with Prime Factorization

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

11 x 587 x 19 x 37 = 4539271

Therefore, the lowest common multiple of 587,209,407 is 4539271.

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.

587 x 209 x 407 = 49931981

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.

587 : 1, 587

209 : 1, 11, 19, 209

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,209,407, is 1.

Now, the common factors can be found like this.

587:587

209:11x 19

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 49931981/(1x11)

LCM = 49931981/11

LCM = 4539271

Thus, we can understand that the LCM of 587,209,407 is 4539271.

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

• LCM of 300, 952, 658
• LCM of 556, 387, 516
• LCM of 127, 931, 734
• LCM of 388, 365, 534
• LCM of 401, 323, 939

1. What is the LCM of 587, 209, 407?

Answer: LCM of 587, 209, 407 is 4539271.

2. How to calculate the LCM of 587, 209, 407?

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 587, 209, 407.

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}.