Given numbers are 946,544,788,414,107

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

The LCM of 946,544,788,414,107 is 1122743087136.

Find LCM of 946,544,788,414,107 with Prime Factorization

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

2 x 2 x 473 x 136 x 197 x 207 x 107 = 1122743087136

Therefore, the lowest common multiple of 946,544,788,414,107 is 1122743087136.

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.

946 x 544 x 788 x 414 x 107 = 17963889394176

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

788 : 1, 2, 4, 197, 394, 788

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,544,788,414,107, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

544:2x 2x 2x 2x 2x 17

788:2x 2x 197

414:2x 3x 3x 23

107:107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 17963889394176/(1x16)

LCM = 17963889394176/16

LCM = 1122743087136

Thus, we can understand that the LCM of 946,544,788,414,107 is 1122743087136.

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

• LCM of 411, 457, 194, 387, 752
• LCM of 675, 241, 235, 300, 631
• LCM of 182, 190, 191, 177, 320
• LCM of 992, 589, 769, 175, 459
• LCM of 339, 782, 369, 479, 384

1. What is the LCM of 946, 544, 788, 414, 107?

Answer: LCM of 946, 544, 788, 414, 107 is 1122743087136.

2. How to calculate the LCM of 946, 544, 788, 414, 107?

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 946, 544, 788, 414, 107.

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}.