Find the LCM of 110, 426, 990, 538, 132 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 110, 426, 990, 538, 132. So, keep reading to learn more.
Given numbers are 110,426,990,538,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,426,990,538,132 is 37816020.
Find LCM of 110,426,990,538,132 with Prime Factorization
2 | 110, 426, 990, 538, 132 |
3 | 55, 213, 495, 269, 66 |
5 | 55, 71, 165, 269, 22 |
11 | 11, 71, 33, 269, 22 |
1, 71, 3, 269, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 71 x 3 x 269 x 2 = 37816020
Therefore, the lowest common multiple of 110,426,990,538,132 is 37816020.
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.
110 x 426 x 990 x 538 x 132 = 3294531662400
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
426 : 1, 2, 3, 6, 71, 142, 213, 426
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
538 : 1, 2, 269, 538
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,426,990,538,132, is 2.
Now, the common factors can be found like this.
110:2x 5x 11
426:2x 3x 71
990:2x 3x 3x 5x 11
538:2x 269
132:2x 2x 3x 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 3x 3x 5x 11x 11 = 43560
Therefore, the value for common factors is 43560.
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 = 3294531662400/(2x43560)
LCM = 3294531662400/87120
LCM = 37816020
Thus, we can understand that the LCM of 110,426,990,538,132 is 37816020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 110, 426, 990, 538, 132?
Answer: LCM of 110, 426, 990, 538, 132 is 37816020.
2. How to calculate the LCM of 110, 426, 990, 538, 132?
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 110, 426, 990, 538, 132.
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}.