Given numbers are 814,712,590

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

The LCM of 814,712,590 is 85486280.

Find LCM of 814,712,590 with Prime Factorization

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

2 x 407 x 356 x 295 = 85486280

Therefore, the lowest common multiple of 814,712,590 is 85486280.

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.

814 x 712 x 590 = 341945120

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

712 : 1, 2, 4, 8, 89, 178, 356, 712

590 : 1, 2, 5, 10, 59, 118, 295, 590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,712,590, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

712:2x 2x 2x 89

590:2x 5x 59

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 = 341945120/(2x2)

LCM = 341945120/4

LCM = 85486280

Thus, we can understand that the LCM of 814,712,590 is 85486280.

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

• LCM of 304, 774, 442
• LCM of 277, 715, 324
• LCM of 560, 977, 573
• LCM of 824, 711, 634
• LCM of 766, 524, 500

1. What is the LCM of 814, 712, 590?

Answer: LCM of 814, 712, 590 is 85486280.

2. How to calculate the LCM of 814, 712, 590?

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 814, 712, 590.

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}.