Given numbers are 487,314,538

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

The LCM of 487,314,538 is 41134942.

Find LCM of 487,314,538 with Prime Factorization

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

2 x 487 x 157 x 269 = 41134942

Therefore, the lowest common multiple of 487,314,538 is 41134942.

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.

487 x 314 x 538 = 82269884

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.

487 : 1, 487

314 : 1, 2, 157, 314

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,314,538, is 1.

Now, the common factors can be found like this.

487:487

314:2x 157

538:2x 269

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

2 = 2

Therefore, the value for common factors is 2.

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 = 82269884/(1x2)

LCM = 82269884/2

LCM = 41134942

Thus, we can understand that the LCM of 487,314,538 is 41134942.

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

• LCM of 947, 428, 634
• LCM of 664, 565, 723
• LCM of 216, 579, 684
• LCM of 258, 691, 536
• LCM of 818, 401, 314

1. What is the LCM of 487, 314, 538?

Answer: LCM of 487, 314, 538 is 41134942.

2. How to calculate the LCM of 487, 314, 538?

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 487, 314, 538.

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}.