Given numbers are 505,582,509,745,677

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

The LCM of 505,582,509,745,677 is 15090619965870.

Find LCM of 505,582,509,745,677 with Prime Factorization

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

5 x 101 x 582 x 509 x 149 x 677 = 15090619965870

Therefore, the lowest common multiple of 505,582,509,745,677 is 15090619965870.

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.

505 x 582 x 509 x 745 x 677 = 75453099829350

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.

505 : 1, 5, 101, 505

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

509 : 1, 509

745 : 1, 5, 149, 745

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,582,509,745,677, is 1.

Now, the common factors can be found like this.

505:5x 101

582:2x 3x 97

509:509

745:5x 149

677:677

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

5 = 5

Therefore, the value for common factors is 5.

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 = 75453099829350/(1x5)

LCM = 75453099829350/5

LCM = 15090619965870

Thus, we can understand that the LCM of 505,582,509,745,677 is 15090619965870.

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

• LCM of 864, 640, 233, 273, 780
• LCM of 161, 232, 522, 807, 395
• LCM of 643, 525, 146, 931, 310
• LCM of 724, 746, 650, 318, 278
• LCM of 359, 846, 652, 976, 340

1. What is the LCM of 505, 582, 509, 745, 677?

Answer: LCM of 505, 582, 509, 745, 677 is 15090619965870.

2. How to calculate the LCM of 505, 582, 509, 745, 677?

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 505, 582, 509, 745, 677.

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}.