Find the LCM of 127, 844, 874, 422, 822 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 127, 844, 874, 422, 822. So, keep reading to learn more.
Given numbers are 127,844,874,422,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,844,874,422,822 is 19251715116.
Find LCM of 127,844,874,422,822 with Prime Factorization
2 | 127, 844, 874, 422, 822 |
211 | 127, 422, 437, 211, 411 |
127, 2, 437, 1, 411 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 127 x 2 x 437 x 1 x 411 = 19251715116
Therefore, the lowest common multiple of 127,844,874,422,822 is 19251715116.
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.
127 x 844 x 874 x 422 x 822 = 32496895115808
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.
127 : 1, 127
844 : 1, 2, 4, 211, 422, 844
874 : 1, 2, 19, 23, 38, 46, 437, 874
422 : 1, 2, 211, 422
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,844,874,422,822, is 1.
Now, the common factors can be found like this.
127:127
844:2x 2x 211
874:2x 19x 23
422:2x 211
822:2x 3x 137
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 211 = 1688
Therefore, the value for common factors is 1688.
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 = 32496895115808/(1x1688)
LCM = 32496895115808/1688
LCM = 19251715116
Thus, we can understand that the LCM of 127,844,874,422,822 is 19251715116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 127, 844, 874, 422, 822?
Answer: LCM of 127, 844, 874, 422, 822 is 19251715116.
2. How to calculate the LCM of 127, 844, 874, 422, 822?
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 127, 844, 874, 422, 822.
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}.