Given numbers are 245,420,676,240,873

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

The LCM of 245,420,676,240,873 is 578345040.

Find LCM of 245,420,676,240,873 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 1 x 7 x 169 x 4 x 291 = 578345040

Therefore, the lowest common multiple of 245,420,676,240,873 is 578345040.

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 420 x 676 x 240 x 873 = 14574295008000

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,420,676,240,873, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

420:2x 2x 3x 5x 7

676:2x 2x 13x 13

240:2x 2x 2x 2x 3x 5

873:3x 3x 97

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 2x 2x 3x 3x 5x 5x 7 = 25200

Therefore, the value for common factors is 25200.

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 = 14574295008000/(1x25200)

LCM = 14574295008000/25200

LCM = 578345040

Thus, we can understand that the LCM of 245,420,676,240,873 is 578345040.

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

• LCM of 618, 659, 951, 985, 961
• LCM of 951, 607, 409, 471, 113
• LCM of 255, 152, 885, 288, 992
• LCM of 497, 992, 303, 837, 807
• LCM of 288, 985, 144, 786, 161

1. What is the LCM of 245, 420, 676, 240, 873?

Answer: LCM of 245, 420, 676, 240, 873 is 578345040.

2. How to calculate the LCM of 245, 420, 676, 240, 873?

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, 420, 676, 240, 873.

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}.