Given numbers are 312,187,990,702,548

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

The LCM of 312,187,990,702,548 is 359690760.

Find LCM of 312,187,990,702,548 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 13 x 2 x 17 x 5 x 3 x 137 = 359690760

Therefore, the lowest common multiple of 312,187,990,702,548 is 359690760.

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.

312 x 187 x 990 x 702 x 548 = 22220256389760

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

187 : 1, 11, 17, 187

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,187,990,702,548, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

187:11x 17

990:2x 3x 3x 5x 11

702:2x 3x 3x 3x 13

548:2x 2x 137

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 3x 11x 13 = 61776

Therefore, the value for common factors is 61776.

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 = 22220256389760/(1x61776)

LCM = 22220256389760/61776

LCM = 359690760

Thus, we can understand that the LCM of 312,187,990,702,548 is 359690760.

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

• LCM of 293, 229, 654, 116, 764
• LCM of 911, 900, 152, 726, 745
• LCM of 734, 702, 671, 823, 392
• LCM of 218, 407, 126, 321, 177
• LCM of 271, 721, 381, 900, 343

1. What is the LCM of 312, 187, 990, 702, 548?

Answer: LCM of 312, 187, 990, 702, 548 is 359690760.

2. How to calculate the LCM of 312, 187, 990, 702, 548?

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 312, 187, 990, 702, 548.

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}.