Given numbers are 803,700,466,214

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

The LCM of 803,700,466,214 is 14013715100.

Find LCM of 803,700,466,214 with Prime Factorization

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

2 x 803 x 350 x 233 x 107 = 14013715100

Therefore, the lowest common multiple of 803,700,466,214 is 14013715100.

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.

803 x 700 x 466 x 214 = 56054860400

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.

803 : 1, 11, 73, 803

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

466 : 1, 2, 233, 466

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,700,466,214, is 1.

Now, the common factors can be found like this.

803:11x 73

700:2x 2x 5x 5x 7

466:2x 233

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 2 = 4

Therefore, the value for common factors is 4.

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 = 56054860400/(1x4)

LCM = 56054860400/4

LCM = 14013715100

Thus, we can understand that the LCM of 803,700,466,214 is 14013715100.

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

• LCM of 482, 382, 226, 322
• LCM of 434, 948, 981, 242
• LCM of 740, 976, 147, 358
• LCM of 464, 359, 835, 720
• LCM of 158, 711, 156, 529

1. What is the LCM of 803, 700, 466, 214?

Answer: LCM of 803, 700, 466, 214 is 14013715100.

2. How to calculate the LCM of 803, 700, 466, 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 803, 700, 466, 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}.