LCM of 168, 411, 216, 338, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 411, 216, 338, 156 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 168, 411, 216, 338, 156. So, keep reading to learn more.
Given numbers are 168,411,216,338,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,411,216,338,156 is 35007336.
Find LCM of 168,411,216,338,156 with Prime Factorization
| 2 | 168, 411, 216, 338, 156 |
| 2 | 84, 411, 108, 169, 78 |
| 2 | 42, 411, 54, 169, 39 |
| 3 | 21, 411, 27, 169, 39 |
| 13 | 7, 137, 9, 169, 13 |
| 7, 137, 9, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 7 x 137 x 9 x 1 x 13 = 35007336
Therefore, the lowest common multiple of 168,411,216,338,156 is 35007336.
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.
168 x 411 x 216 x 338 x 156 = 786404795904
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
411 : 1, 3, 137, 411
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
338 : 1, 2, 13, 26, 169, 338
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,411,216,338,156, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
411:3x 137
216:2x 2x 2x 3x 3x 3
338:2x 13x 13
156:2x 2x 3x 13
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 2x 2x 2x 3x 3x 3x 13 = 22464
Therefore, the value for common factors is 22464.
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 = 786404795904/(1x22464)
LCM = 786404795904/22464
LCM = 35007336
Thus, we can understand that the LCM of 168,411,216,338,156 is 35007336.
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FAQs on LCM of 168, 411, 216, 338, 156
1. What is the LCM of 168, 411, 216, 338, 156?
Answer: LCM of 168, 411, 216, 338, 156 is 35007336.
2. How to calculate the LCM of 168, 411, 216, 338, 156?
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 168, 411, 216, 338, 156.
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}.