Given numbers are 217,248,346,531

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

The LCM of 217,248,346,531 is 159474168.

Find LCM of 217,248,346,531 with Prime Factorization

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

2 x 31 x 7 x 4 x 173 x 531 = 159474168

Therefore, the lowest common multiple of 217,248,346,531 is 159474168.

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 248 x 346 x 531 = 9887398416

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

346 : 1, 2, 173, 346

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,248,346,531, is 1.

Now, the common factors can be found like this.

217:7x 31

248:2x 2x 2x 31

346:2x 173

531:3x 3x 59

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 = 9887398416/(1x62)

LCM = 9887398416/62

LCM = 159474168

Thus, we can understand that the LCM of 217,248,346,531 is 159474168.

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

• LCM of 582, 842, 892, 184
• LCM of 818, 303, 855, 288
• LCM of 333, 387, 170, 732
• LCM of 239, 601, 700, 139
• LCM of 549, 707, 186, 391

1. What is the LCM of 217, 248, 346, 531?

Answer: LCM of 217, 248, 346, 531 is 159474168.

2. How to calculate the LCM of 217, 248, 346, 531?

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, 248, 346, 531.

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}.