Given numbers are 732,642,880,171,311

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

The LCM of 732,642,880,171,311 is 305458900560.

Find LCM of 732,642,880,171,311 with Prime Factorization

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

2 x 2 x 3 x 61 x 107 x 220 x 57 x 311 = 305458900560

Therefore, the lowest common multiple of 732,642,880,171,311 is 305458900560.

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.

732 x 642 x 880 x 171 x 311 = 21993040840320

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

642 : 1, 2, 3, 6, 107, 214, 321, 642

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

171 : 1, 3, 9, 19, 57, 171

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,642,880,171,311, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

642:2x 3x 107

880:2x 2x 2x 2x 5x 11

171:3x 3x 19

311:311

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 21993040840320/(1x72)

LCM = 21993040840320/72

LCM = 305458900560

Thus, we can understand that the LCM of 732,642,880,171,311 is 305458900560.

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

• LCM of 807, 828, 881, 660, 956
• LCM of 931, 356, 182, 980, 307
• LCM of 550, 423, 663, 665, 444
• LCM of 884, 610, 466, 532, 419
• LCM of 259, 373, 841, 603, 234

1. What is the LCM of 732, 642, 880, 171, 311?

Answer: LCM of 732, 642, 880, 171, 311 is 305458900560.

2. How to calculate the LCM of 732, 642, 880, 171, 311?

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 732, 642, 880, 171, 311.

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}.