Given numbers are 984,843,441,708,214

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

The LCM of 984,843,441,708,214 is 256598753544.

Find LCM of 984,843,441,708,214 with Prime Factorization

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

2 x 2 x 3 x 82 x 281 x 147 x 59 x 107 = 256598753544

Therefore, the lowest common multiple of 984,843,441,708,214 is 256598753544.

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.

984 x 843 x 441 x 708 x 214 = 55425330765504

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

843 : 1, 3, 281, 843

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,843,441,708,214, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

843:3x 281

441:3x 3x 7x 7

708:2x 2x 3x 59

214:2x 107

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 55425330765504/(1x216)

LCM = 55425330765504/216

LCM = 256598753544

Thus, we can understand that the LCM of 984,843,441,708,214 is 256598753544.

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

• LCM of 947, 735, 732, 507, 120
• LCM of 143, 445, 160, 275, 633
• LCM of 374, 415, 791, 139, 819
• LCM of 846, 211, 717, 779, 650
• LCM of 723, 763, 825, 558, 892

1. What is the LCM of 984, 843, 441, 708, 214?

Answer: LCM of 984, 843, 441, 708, 214 is 256598753544.

2. How to calculate the LCM of 984, 843, 441, 708, 214?

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 984, 843, 441, 708, 214.

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}.