Given numbers are 424,102,864,214

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

The LCM of 424,102,864,214 is 83295648.

Find LCM of 424,102,864,214 with Prime Factorization

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

2 x 2 x 2 x 3 x 53 x 17 x 36 x 107 = 83295648

Therefore, the lowest common multiple of 424,102,864,214 is 83295648.

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.

424 x 102 x 864 x 214 = 7996382208

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

102 : 1, 2, 3, 6, 17, 34, 51, 102

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,102,864,214, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

102:2x 3x 17

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 7996382208/(2x48)

LCM = 7996382208/96

LCM = 83295648

Thus, we can understand that the LCM of 424,102,864,214 is 83295648.

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

• LCM of 811, 883, 926, 741
• LCM of 764, 617, 366, 120
• LCM of 978, 896, 231, 243
• LCM of 311, 699, 747, 693
• LCM of 532, 983, 939, 516

1. What is the LCM of 424, 102, 864, 214?

Answer: LCM of 424, 102, 864, 214 is 83295648.

2. How to calculate the LCM of 424, 102, 864, 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 424, 102, 864, 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}.