Given numbers are 217,314,750

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

The LCM of 217,314,750 is 25551750.

Find LCM of 217,314,750 with Prime Factorization

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

2 x 217 x 157 x 375 = 25551750

Therefore, the lowest common multiple of 217,314,750 is 25551750.

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 314 x 750 = 51103500

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

314 : 1, 2, 157, 314

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,314,750, is 1.

Now, the common factors can be found like this.

217:7x 31

314:2x 157

750:2x 3x 5x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 51103500/(1x2)

LCM = 51103500/2

LCM = 25551750

Thus, we can understand that the LCM of 217,314,750 is 25551750.

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

• LCM of 497, 101, 459
• LCM of 348, 662, 199
• LCM of 340, 694, 564
• LCM of 658, 287, 455
• LCM of 959, 911, 100

1. What is the LCM of 217, 314, 750?

Answer: LCM of 217, 314, 750 is 25551750.

2. How to calculate the LCM of 217, 314, 750?

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, 314, 750.

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}.