Given numbers are 212,466,686,974,972

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

The LCM of 212,466,686,974,972 is 2005031208348.

Find LCM of 212,466,686,974,972 with Prime Factorization

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

2 x 2 x 53 x 233 x 343 x 487 x 243 = 2005031208348

Therefore, the lowest common multiple of 212,466,686,974,972 is 2005031208348.

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.

212 x 466 x 686 x 974 x 972 = 64160998667136

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.

212 : 1, 2, 4, 53, 106, 212

466 : 1, 2, 233, 466

686 : 1, 2, 7, 14, 49, 98, 343, 686

974 : 1, 2, 487, 974

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,466,686,974,972, is 2.

Now, the common factors can be found like this.

212:2x 2x 53

466:2x 233

686:2x 7x 7x 7

974:2x 487

972:2x 2x 3x 3x 3x 3x 3

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 2 = 16

Therefore, the value for common factors is 16.

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 = 64160998667136/(2x16)

LCM = 64160998667136/32

LCM = 2005031208348

Thus, we can understand that the LCM of 212,466,686,974,972 is 2005031208348.

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

• LCM of 714, 252, 133, 276, 412
• LCM of 790, 108, 626, 670, 337
• LCM of 997, 447, 582, 650, 741
• LCM of 858, 445, 484, 895, 450
• LCM of 304, 396, 949, 581, 647

1. What is the LCM of 212, 466, 686, 974, 972?

Answer: LCM of 212, 466, 686, 974, 972 is 2005031208348.

2. How to calculate the LCM of 212, 466, 686, 974, 972?

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 212, 466, 686, 974, 972.

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}.