Given numbers are 106,414,438,840,968

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

The LCM of 106,414,438,840,968 is 27133916040.

Find LCM of 106,414,438,840,968 with Prime Factorization

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

2 x 2 x 2 x 3 x 53 x 69 x 73 x 35 x 121 = 27133916040

Therefore, the lowest common multiple of 106,414,438,840,968 is 27133916040.

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.

106 x 414 x 438 x 840 x 968 = 15629135639040

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.

106 : 1, 2, 53, 106

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,414,438,840,968, is 2.

Now, the common factors can be found like this.

106:2x 53

414:2x 3x 3x 23

438:2x 3x 73

840:2x 2x 2x 3x 5x 7

968:2x 2x 2x 11x 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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 15629135639040/(2x288)

LCM = 15629135639040/576

LCM = 27133916040

Thus, we can understand that the LCM of 106,414,438,840,968 is 27133916040.

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

• LCM of 360, 377, 714, 245, 581
• LCM of 792, 646, 967, 385, 797
• LCM of 162, 205, 171, 762, 196
• LCM of 449, 350, 122, 888, 737
• LCM of 152, 743, 599, 449, 226

1. What is the LCM of 106, 414, 438, 840, 968?

Answer: LCM of 106, 414, 438, 840, 968 is 27133916040.

2. How to calculate the LCM of 106, 414, 438, 840, 968?

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 106, 414, 438, 840, 968.

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}.