Given numbers are 217,42,823

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

The LCM of 217,42,823 is 1071546.

Find LCM of 217,42,823 with Prime Factorization

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

7 x 31 x 6 x 823 = 1071546

Therefore, the lowest common multiple of 217,42,823 is 1071546.

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 42 x 823 = 7500822

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

42 : 1, 2, 3, 6, 7, 14, 21, 42

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,42,823, is 1.

Now, the common factors can be found like this.

217:7x 31

42:2x 3x 7

823:823

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

7 = 7

Therefore, the value for common factors is 7.

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 = 7500822/(1x7)

LCM = 7500822/7

LCM = 1071546

Thus, we can understand that the LCM of 217,42,823 is 1071546.

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

• LCM of 250, 18, 687
• LCM of 111, 75, 786
• LCM of 227, 31, 659
• LCM of 671, 53, 930
• LCM of 589, 94, 924

1. What is the LCM of 217, 42, 823?

Answer: LCM of 217, 42, 823 is 1071546.

2. How to calculate the LCM of 217, 42, 823?

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, 42, 823.

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}.