Given numbers are 989,406,747,415,424

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

The LCM of 989,406,747,415,424 is 317942651880.

Find LCM of 989,406,747,415,424 with Prime Factorization

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

2 x 83 x 989 x 203 x 9 x 5 x 212 = 317942651880

Therefore, the lowest common multiple of 989,406,747,415,424 is 317942651880.

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.

989 x 406 x 747 x 415 x 424 = 52778480212080

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.

989 : 1, 23, 43, 989

406 : 1, 2, 7, 14, 29, 58, 203, 406

747 : 1, 3, 9, 83, 249, 747

415 : 1, 5, 83, 415

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,406,747,415,424, is 1.

Now, the common factors can be found like this.

989:23x 43

406:2x 7x 29

747:3x 3x 83

415:5x 83

424:2x 2x 2x 53

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

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 52778480212080/(1x166)

LCM = 52778480212080/166

LCM = 317942651880

Thus, we can understand that the LCM of 989,406,747,415,424 is 317942651880.

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

• LCM of 859, 840, 608, 564, 143
• LCM of 589, 867, 960, 512, 749
• LCM of 498, 894, 765, 228, 617
• LCM of 916, 316, 368, 814, 287
• LCM of 881, 798, 344, 317, 131

1. What is the LCM of 989, 406, 747, 415, 424?

Answer: LCM of 989, 406, 747, 415, 424 is 317942651880.

2. How to calculate the LCM of 989, 406, 747, 415, 424?

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 989, 406, 747, 415, 424.

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}.