Given numbers are 466,268,170,702,771

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

The LCM of 466,268,170,702,771 is 478795302180.

Find LCM of 466,268,170,702,771 with Prime Factorization

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

2 x 3 x 233 x 134 x 85 x 117 x 257 = 478795302180

Therefore, the lowest common multiple of 466,268,170,702,771 is 478795302180.

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.

466 x 268 x 170 x 702 x 771 = 11491087252320

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.

466 : 1, 2, 233, 466

268 : 1, 2, 4, 67, 134, 268

170 : 1, 2, 5, 10, 17, 34, 85, 170

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,268,170,702,771, is 1.

Now, the common factors can be found like this.

466:2x 233

268:2x 2x 67

170:2x 5x 17

702:2x 3x 3x 3x 13

771:3x 257

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 11491087252320/(1x24)

LCM = 11491087252320/24

LCM = 478795302180

Thus, we can understand that the LCM of 466,268,170,702,771 is 478795302180.

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

• LCM of 314, 917, 777, 523, 322
• LCM of 509, 626, 170, 673, 585
• LCM of 562, 312, 465, 130, 243
• LCM of 224, 457, 415, 422, 182
• LCM of 208, 430, 928, 502, 142

1. What is the LCM of 466, 268, 170, 702, 771?

Answer: LCM of 466, 268, 170, 702, 771 is 478795302180.

2. How to calculate the LCM of 466, 268, 170, 702, 771?

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 466, 268, 170, 702, 771.

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}.