Given numbers are 700,197,666,214

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

The LCM of 700,197,666,214 is 4913514900.

Find LCM of 700,197,666,214 with Prime Factorization

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

2 x 350 x 197 x 333 x 107 = 4913514900

Therefore, the lowest common multiple of 700,197,666,214 is 4913514900.

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.

700 x 197 x 666 x 214 = 19654059600

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.

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

197 : 1, 197

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,197,666,214, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

197:197

666:2x 3x 3x 37

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 = 19654059600/(1x4)

LCM = 19654059600/4

LCM = 4913514900

Thus, we can understand that the LCM of 700,197,666,214 is 4913514900.

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

• LCM of 697, 296, 533, 109
• LCM of 145, 691, 215, 476
• LCM of 145, 111, 790, 869
• LCM of 854, 105, 358, 691
• LCM of 935, 679, 990, 732

1. What is the LCM of 700, 197, 666, 214?

Answer: LCM of 700, 197, 666, 214 is 4913514900.

2. How to calculate the LCM of 700, 197, 666, 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 700, 197, 666, 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}.