Given numbers are 177,176,264,340,352

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

The LCM of 177,176,264,340,352 is 5295840.

Find LCM of 177,176,264,340,352 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 59 x 1 x 1 x 85 x 2 = 5295840

Therefore, the lowest common multiple of 177,176,264,340,352 is 5295840.

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.

177 x 176 x 264 x 340 x 352 = 984263639040

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.

177 : 1, 3, 59, 177

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,176,264,340,352, is 1.

Now, the common factors can be found like this.

177:3x 59

176:2x 2x 2x 2x 11

264:2x 2x 2x 3x 11

340:2x 2x 5x 17

352:2x 2x 2x 2x 2x 11

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 2x 2x 2x 2x 2x 2x 3x 11x 11 = 185856

Therefore, the value for common factors is 185856.

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 = 984263639040/(1x185856)

LCM = 984263639040/185856

LCM = 5295840

Thus, we can understand that the LCM of 177,176,264,340,352 is 5295840.

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

• LCM of 862, 813, 106, 751, 796
• LCM of 168, 806, 330, 223, 948
• LCM of 837, 477, 423, 473, 161
• LCM of 474, 193, 400, 568, 406
• LCM of 713, 529, 838, 164, 633

1. What is the LCM of 177, 176, 264, 340, 352?

Answer: LCM of 177, 176, 264, 340, 352 is 5295840.

2. How to calculate the LCM of 177, 176, 264, 340, 352?

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 177, 176, 264, 340, 352.

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}.