Given numbers are 217,149,536,400

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

The LCM of 217,149,536,400 is 866524400.

Find LCM of 217,149,536,400 with Prime Factorization

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

2 x 2 x 2 x 217 x 149 x 67 x 50 = 866524400

Therefore, the lowest common multiple of 217,149,536,400 is 866524400.

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.

217 x 149 x 536 x 400 = 6932195200

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.

217 : 1, 7, 31, 217

149 : 1, 149

536 : 1, 2, 4, 8, 67, 134, 268, 536

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,149,536,400, is 1.

Now, the common factors can be found like this.

217:7x 31

149:149

536:2x 2x 2x 67

400:2x 2x 2x 2x 5x 5

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 = 6932195200/(1x8)

LCM = 6932195200/8

LCM = 866524400

Thus, we can understand that the LCM of 217,149,536,400 is 866524400.

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

• LCM of 182, 783, 805, 370
• LCM of 357, 418, 988, 222
• LCM of 567, 808, 630, 589
• LCM of 101, 886, 575, 742
• LCM of 870, 848, 618, 802

1. What is the LCM of 217, 149, 536, 400?

Answer: LCM of 217, 149, 536, 400 is 866524400.

2. How to calculate the LCM of 217, 149, 536, 400?

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 217, 149, 536, 400.

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}.