Given numbers are 487,742,487,414

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

The LCM of 487,742,487,414 is 74800278.

Find LCM of 487,742,487,414 with Prime Factorization

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

2 x 487 x 1 x 371 x 1 x 207 = 74800278

Therefore, the lowest common multiple of 487,742,487,414 is 74800278.

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 742 x 487 x 414 = 72855470772

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

487 : 1, 487

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,742,487,414, is 1.

Now, the common factors can be found like this.

487:487

742:2x 7x 53

487:487

414:2x 3x 3x 23

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

2x 487 = 974

Therefore, the value for common factors is 974.

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 = 72855470772/(1x974)

LCM = 72855470772/974

LCM = 74800278

Thus, we can understand that the LCM of 487,742,487,414 is 74800278.

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

• LCM of 437, 156, 829, 159
• LCM of 379, 406, 460, 475
• LCM of 626, 598, 789, 189
• LCM of 546, 369, 979, 478
• LCM of 465, 320, 853, 565

1. What is the LCM of 487, 742, 487, 414?

Answer: LCM of 487, 742, 487, 414 is 74800278.

2. How to calculate the LCM of 487, 742, 487, 414?

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, 742, 487, 414.

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}.