Given numbers are 584,142,231,217

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

The LCM of 584,142,231,217 is 296923704.

Find LCM of 584,142,231,217 with Prime Factorization

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

2 x 7 x 292 x 71 x 33 x 31 = 296923704

Therefore, the lowest common multiple of 584,142,231,217 is 296923704.

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.

584 x 142 x 231 x 217 = 4156931856

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

142 : 1, 2, 71, 142

231 : 1, 3, 7, 11, 21, 33, 77, 231

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,142,231,217, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

142:2x 71

231:3x 7x 11

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 7 = 14

Therefore, the value for common factors is 14.

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 = 4156931856/(1x14)

LCM = 4156931856/14

LCM = 296923704

Thus, we can understand that the LCM of 584,142,231,217 is 296923704.

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

• LCM of 767, 928, 303, 105
• LCM of 820, 584, 202, 279
• LCM of 741, 862, 502, 980
• LCM of 802, 320, 322, 281
• LCM of 660, 667, 363, 159

1. What is the LCM of 584, 142, 231, 217?

Answer: LCM of 584, 142, 231, 217 is 296923704.

2. How to calculate the LCM of 584, 142, 231, 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 584, 142, 231, 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}.