Given numbers are 582,414,269,580

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

The LCM of 582,414,269,580 is 3132725580.

Find LCM of 582,414,269,580 with Prime Factorization

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

2 x 3 x 97 x 69 x 269 x 290 = 3132725580

Therefore, the lowest common multiple of 582,414,269,580 is 3132725580.

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.

582 x 414 x 269 x 580 = 37592706960

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

269 : 1, 269

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,414,269,580, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

414:2x 3x 3x 23

269:269

580:2x 2x 5x 29

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 37592706960/(1x12)

LCM = 37592706960/12

LCM = 3132725580

Thus, we can understand that the LCM of 582,414,269,580 is 3132725580.

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

• LCM of 929, 113, 779, 696
• LCM of 348, 227, 829, 532
• LCM of 708, 259, 555, 398
• LCM of 862, 802, 259, 857
• LCM of 817, 260, 558, 938

1. What is the LCM of 582, 414, 269, 580?

Answer: LCM of 582, 414, 269, 580 is 3132725580.

2. How to calculate the LCM of 582, 414, 269, 580?

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 582, 414, 269, 580.

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}.