Given numbers are 245,540,520,221,115

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

The LCM of 245,540,520,221,115 is 268992360.

Find LCM of 245,540,520,221,115 with Prime Factorization

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

2 x 2 x 5 x 13 x 49 x 27 x 2 x 17 x 23 = 268992360

Therefore, the lowest common multiple of 245,540,520,221,115 is 268992360.

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.

245 x 540 x 520 x 221 x 115 = 1748450340000

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.

245 : 1, 5, 7, 35, 49, 245

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

221 : 1, 13, 17, 221

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,540,520,221,115, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

540:2x 2x 3x 3x 3x 5

520:2x 2x 2x 5x 13

221:13x 17

115:5x 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 2x 5x 5x 5x 13 = 6500

Therefore, the value for common factors is 6500.

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 = 1748450340000/(1x6500)

LCM = 1748450340000/6500

LCM = 268992360

Thus, we can understand that the LCM of 245,540,520,221,115 is 268992360.

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

• LCM of 676, 251, 685, 971, 811
• LCM of 555, 113, 542, 965, 591
• LCM of 126, 212, 551, 799, 300
• LCM of 772, 305, 910, 310, 588
• LCM of 533, 857, 408, 577, 151

1. What is the LCM of 245, 540, 520, 221, 115?

Answer: LCM of 245, 540, 520, 221, 115 is 268992360.

2. How to calculate the LCM of 245, 540, 520, 221, 115?

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 245, 540, 520, 221, 115.

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}.