Find the LCM of 551, 836, 121, 412, 990 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 551, 836, 121, 412, 990. So, keep reading to learn more.
Given numbers are 551,836,121,412,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,836,121,412,990 is 1236080340.
Find LCM of 551,836,121,412,990 with Prime Factorization
2 | 551, 836, 121, 412, 990 |
2 | 551, 418, 121, 206, 495 |
11 | 551, 209, 121, 103, 495 |
19 | 551, 19, 11, 103, 45 |
29, 1, 11, 103, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 29 x 1 x 11 x 103 x 45 = 1236080340
Therefore, the lowest common multiple of 551,836,121,412,990 is 1236080340.
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.
551 x 836 x 121 x 412 x 990 = 22733989613280
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.
551 : 1, 19, 29, 551
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
121 : 1, 11, 121
412 : 1, 2, 4, 103, 206, 412
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,836,121,412,990, is 1.
Now, the common factors can be found like this.
551:19x 29
836:2x 2x 11x 19
121:11x 11
412:2x 2x 103
990:2x 3x 3x 5x 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 11x 11x 19 = 18392
Therefore, the value for common factors is 18392.
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 = 22733989613280/(1x18392)
LCM = 22733989613280/18392
LCM = 1236080340
Thus, we can understand that the LCM of 551,836,121,412,990 is 1236080340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 836, 121, 412, 990?
Answer: LCM of 551, 836, 121, 412, 990 is 1236080340.
2. How to calculate the LCM of 551, 836, 121, 412, 990?
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 551, 836, 121, 412, 990.
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}.