Find the LCM of 122, 880, 684, 557, 331 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 122, 880, 684, 557, 331. So, keep reading to learn more.
Given numbers are 122,880,684,557,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,880,684,557,331 is 1692356315760.
Find LCM of 122,880,684,557,331 with Prime Factorization
2 | 122, 880, 684, 557, 331 |
2 | 61, 440, 342, 557, 331 |
61, 220, 171, 557, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 220 x 171 x 557 x 331 = 1692356315760
Therefore, the lowest common multiple of 122,880,684,557,331 is 1692356315760.
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.
122 x 880 x 684 x 557 x 331 = 13538850526080
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.
122 : 1, 2, 61, 122
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
557 : 1, 557
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,880,684,557,331, is 1.
Now, the common factors can be found like this.
122:2x 61
880:2x 2x 2x 2x 5x 11
684:2x 2x 3x 3x 19
557:557
331:331
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 2 = 8
Therefore, the value for common factors is 8.
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 = 13538850526080/(1x8)
LCM = 13538850526080/8
LCM = 1692356315760
Thus, we can understand that the LCM of 122,880,684,557,331 is 1692356315760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 122, 880, 684, 557, 331?
Answer: LCM of 122, 880, 684, 557, 331 is 1692356315760.
2. How to calculate the LCM of 122, 880, 684, 557, 331?
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 122, 880, 684, 557, 331.
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}.