Given numbers are 517,22,284

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

The LCM of 517,22,284 is 146828.

Find LCM of 517,22,284 with Prime Factorization

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

2 x 11 x 47 x 1 x 142 = 146828

Therefore, the lowest common multiple of 517,22,284 is 146828.

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.

517 x 22 x 284 = 3230216

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.

517 : 1, 11, 47, 517

22 : 1, 2, 11, 22

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,22,284, is 1.

Now, the common factors can be found like this.

517:11x 47

22:2x 11

284:2x 2x 71

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 3230216/(1x22)

LCM = 3230216/22

LCM = 146828

Thus, we can understand that the LCM of 517,22,284 is 146828.

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

• LCM of 705, 33, 742
• LCM of 846, 15, 236
• LCM of 521, 18, 200
• LCM of 857, 12, 332
• LCM of 684, 59, 888

1. What is the LCM of 517, 22, 284?

Answer: LCM of 517, 22, 284 is 146828.

2. How to calculate the LCM of 517, 22, 284?

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 517, 22, 284.

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}.