Given numbers are 315,214,212,992

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

The LCM of 315,214,212,992 is 1772074080.

Find LCM of 315,214,212,992 with Prime Factorization

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

2 x 2 x 315 x 107 x 53 x 248 = 1772074080

Therefore, the lowest common multiple of 315,214,212,992 is 1772074080.

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.

315 x 214 x 212 x 992 = 14176592640

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

214 : 1, 2, 107, 214

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,214,212,992, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

214:2x 107

212:2x 2x 53

992:2x 2x 2x 2x 2x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 14176592640/(1x8)

LCM = 14176592640/8

LCM = 1772074080

Thus, we can understand that the LCM of 315,214,212,992 is 1772074080.

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

• LCM of 303, 855, 356, 540
• LCM of 994, 562, 755, 756
• LCM of 915, 595, 299, 755
• LCM of 286, 524, 209, 844
• LCM of 973, 476, 715, 655

1. What is the LCM of 315, 214, 212, 992?

Answer: LCM of 315, 214, 212, 992 is 1772074080.

2. How to calculate the LCM of 315, 214, 212, 992?

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 315, 214, 212, 992.

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}.