Given numbers are 214,613,972,696

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

The LCM of 214,613,972,696 is 3697758216.

Find LCM of 214,613,972,696 with Prime Factorization

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

2 x 2 x 3 x 107 x 613 x 81 x 58 = 3697758216

Therefore, the lowest common multiple of 214,613,972,696 is 3697758216.

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.

214 x 613 x 972 x 696 = 88746197184

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.

214 : 1, 2, 107, 214

613 : 1, 613

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,613,972,696, is 1.

Now, the common factors can be found like this.

214:2x 107

613:613

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

696:2x 2x 2x 3x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 88746197184/(1x24)

LCM = 88746197184/24

LCM = 3697758216

Thus, we can understand that the LCM of 214,613,972,696 is 3697758216.

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

• LCM of 565, 938, 556, 100
• LCM of 341, 827, 178, 896
• LCM of 408, 166, 555, 144
• LCM of 630, 579, 792, 651
• LCM of 320, 872, 532, 454

1. What is the LCM of 214, 613, 972, 696?

Answer: LCM of 214, 613, 972, 696 is 3697758216.

2. How to calculate the LCM of 214, 613, 972, 696?

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 214, 613, 972, 696.

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}.