Given numbers are 844,440,420,159,310

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

The LCM of 844,440,420,159,310 is 3203258520.

Find LCM of 844,440,420,159,310 with Prime Factorization

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

2 x 2 x 3 x 5 x 211 x 22 x 7 x 53 x 31 = 3203258520

Therefore, the lowest common multiple of 844,440,420,159,310 is 3203258520.

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.

844 x 440 x 420 x 159 x 310 = 7687820448000

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.

844 : 1, 2, 4, 211, 422, 844

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

159 : 1, 3, 53, 159

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,440,420,159,310, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

440:2x 2x 2x 5x 11

420:2x 2x 3x 5x 7

159:3x 53

310:2x 5x 31

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 7687820448000/(1x2400)

LCM = 7687820448000/2400

LCM = 3203258520

Thus, we can understand that the LCM of 844,440,420,159,310 is 3203258520.

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

• LCM of 522, 716, 110, 245, 760
• LCM of 865, 281, 321, 223, 507
• LCM of 404, 557, 237, 434, 206
• LCM of 601, 333, 648, 570, 586
• LCM of 718, 647, 679, 989, 292

1. What is the LCM of 844, 440, 420, 159, 310?

Answer: LCM of 844, 440, 420, 159, 310 is 3203258520.

2. How to calculate the LCM of 844, 440, 420, 159, 310?

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 844, 440, 420, 159, 310.

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}.