Find the LCM of 411, 362, 726, 105, 165 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 411, 362, 726, 105, 165. So, keep reading to learn more.
Given numbers are 411,362,726,105,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,362,726,105,165 is 630091770.
Find LCM of 411,362,726,105,165 with Prime Factorization
2 | 411, 362, 726, 105, 165 |
3 | 411, 181, 363, 105, 165 |
5 | 137, 181, 121, 35, 55 |
11 | 137, 181, 121, 7, 11 |
137, 181, 1, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 137 x 181 x 1 x 7 x 11 = 630091770
Therefore, the lowest common multiple of 411,362,726,105,165 is 630091770.
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.
411 x 362 x 726 x 105 x 165 = 1871372556900
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.
411 : 1, 3, 137, 411
362 : 1, 2, 181, 362
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
105 : 1, 3, 5, 7, 15, 21, 35, 105
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,362,726,105,165, is 1.
Now, the common factors can be found like this.
411:3x 137
362:2x 181
726:2x 3x 11x 11
105:3x 5x 7
165:3x 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 3x 3x 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 1871372556900/(1x2970)
LCM = 1871372556900/2970
LCM = 630091770
Thus, we can understand that the LCM of 411,362,726,105,165 is 630091770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 362, 726, 105, 165?
Answer: LCM of 411, 362, 726, 105, 165 is 630091770.
2. How to calculate the LCM of 411, 362, 726, 105, 165?
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 411, 362, 726, 105, 165.
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}.