Given numbers are 831,414,210,919

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

The LCM of 831,414,210,919 is 3688617870.

Find LCM of 831,414,210,919 with Prime Factorization

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

2 x 3 x 277 x 69 x 35 x 919 = 3688617870

Therefore, the lowest common multiple of 831,414,210,919 is 3688617870.

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.

831 x 414 x 210 x 919 = 66395121660

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.

831 : 1, 3, 277, 831

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,414,210,919, is 1.

Now, the common factors can be found like this.

831:3x 277

414:2x 3x 3x 23

210:2x 3x 5x 7

919:919

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 66395121660/(1x18)

LCM = 66395121660/18

LCM = 3688617870

Thus, we can understand that the LCM of 831,414,210,919 is 3688617870.

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

• LCM of 961, 398, 736, 543
• LCM of 694, 511, 947, 598
• LCM of 248, 257, 790, 298
• LCM of 989, 308, 355, 922
• LCM of 300, 113, 650, 996

1. What is the LCM of 831, 414, 210, 919?

Answer: LCM of 831, 414, 210, 919 is 3688617870.

2. How to calculate the LCM of 831, 414, 210, 919?

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 831, 414, 210, 919.

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}.