Given numbers are 8,214,343,875

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

The LCM of 8,214,343,875 is 36701000.

Find LCM of 8,214,343,875 with Prime Factorization

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

2 x 7 x 4 x 107 x 49 x 125 = 36701000

Therefore, the lowest common multiple of 8,214,343,875 is 36701000.

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.

8 x 214 x 343 x 875 = 513814000

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.

8 : 1, 2, 4, 8

214 : 1, 2, 107, 214

343 : 1, 7, 49, 343

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,214,343,875, is 1.

Now, the common factors can be found like this.

8:2x 2x 2

214:2x 107

343:7x 7x 7

875:5x 5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 513814000/(1x14)

LCM = 513814000/14

LCM = 36701000

Thus, we can understand that the LCM of 8,214,343,875 is 36701000.

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

• LCM of 1, 946, 248, 107
• LCM of 3, 967, 449, 450
• LCM of 6, 572, 557, 189
• LCM of 3, 931, 521, 421
• LCM of 6, 390, 243, 427

1. What is the LCM of 8, 214, 343, 875?

Answer: LCM of 8, 214, 343, 875 is 36701000.

2. How to calculate the LCM of 8, 214, 343, 875?

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 8, 214, 343, 875.

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}.