Given numbers are 214,696,414,973

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

The LCM of 214,696,414,973 is 4999826664.

Find LCM of 214,696,414,973 with Prime Factorization

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

2 x 3 x 107 x 116 x 69 x 973 = 4999826664

Therefore, the lowest common multiple of 214,696,414,973 is 4999826664.

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 696 x 414 x 973 = 59997919968

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

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,696,414,973, is 1.

Now, the common factors can be found like this.

214:2x 107

696:2x 2x 2x 3x 29

414:2x 3x 3x 23

973:7x 139

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 3 = 12

Therefore, the value for common factors is 12.

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 = 59997919968/(1x12)

LCM = 59997919968/12

LCM = 4999826664

Thus, we can understand that the LCM of 214,696,414,973 is 4999826664.

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

• LCM of 744, 360, 568, 410
• LCM of 776, 563, 800, 585
• LCM of 671, 300, 227, 746
• LCM of 207, 998, 535, 767
• LCM of 344, 406, 930, 982

1. What is the LCM of 214, 696, 414, 973?

Answer: LCM of 214, 696, 414, 973 is 4999826664.

2. How to calculate the LCM of 214, 696, 414, 973?

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, 696, 414, 973.

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}.