Given numbers are 310,146,217

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

The LCM of 310,146,217 is 158410.

Find LCM of 310,146,217 with Prime Factorization

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

2 x 31 x 5 x 73 x 7 = 158410

Therefore, the lowest common multiple of 310,146,217 is 158410.

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.

310 x 146 x 217 = 9821420

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

146 : 1, 2, 73, 146

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,146,217, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

146:2x 73

217:7x 31

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 9821420/(1x62)

LCM = 9821420/62

LCM = 158410

Thus, we can understand that the LCM of 310,146,217 is 158410.

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

• LCM of 737, 831, 658
• LCM of 440, 459, 807
• LCM of 581, 585, 689
• LCM of 596, 312, 144
• LCM of 942, 581, 645

1. What is the LCM of 310, 146, 217?

Answer: LCM of 310, 146, 217 is 158410.

2. How to calculate the LCM of 310, 146, 217?

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 310, 146, 217.

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}.