Given numbers are 966,682,493,732,346

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

The LCM of 966,682,493,732,346 is 3427554416748.

Find LCM of 966,682,493,732,346 with Prime Factorization

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

2 x 3 x 161 x 341 x 493 x 122 x 173 = 3427554416748

Therefore, the lowest common multiple of 966,682,493,732,346 is 3427554416748.

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.

966 x 682 x 493 x 732 x 346 = 82261306001952

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

682 : 1, 2, 11, 22, 31, 62, 341, 682

493 : 1, 17, 29, 493

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

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,682,493,732,346, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

682:2x 11x 31

493:17x 29

732:2x 2x 3x 61

346:2x 173

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 = 82261306001952/(1x24)

LCM = 82261306001952/24

LCM = 3427554416748

Thus, we can understand that the LCM of 966,682,493,732,346 is 3427554416748.

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

• LCM of 936, 175, 739, 102, 300
• LCM of 584, 186, 475, 900, 880
• LCM of 492, 981, 426, 235, 902
• LCM of 323, 152, 102, 392, 227
• LCM of 881, 580, 732, 632, 293

1. What is the LCM of 966, 682, 493, 732, 346?

Answer: LCM of 966, 682, 493, 732, 346 is 3427554416748.

2. How to calculate the LCM of 966, 682, 493, 732, 346?

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 966, 682, 493, 732, 346.

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}.