LCM of 932, 636, 231, 165, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 636, 231, 165, 159 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 932, 636, 231, 165, 159. So, keep reading to learn more.
Given numbers are 932,636,231,165,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,636,231,165,159 is 57052380.
Find LCM of 932,636,231,165,159 with Prime Factorization
| 2 | 932, 636, 231, 165, 159 |
| 2 | 466, 318, 231, 165, 159 |
| 3 | 233, 159, 231, 165, 159 |
| 11 | 233, 53, 77, 55, 53 |
| 53 | 233, 53, 7, 5, 53 |
| 233, 1, 7, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 233 x 1 x 7 x 5 x 1 = 57052380
Therefore, the lowest common multiple of 932,636,231,165,159 is 57052380.
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.
932 x 636 x 231 x 165 x 159 = 3592246054320
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.
932 : 1, 2, 4, 233, 466, 932
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
231 : 1, 3, 7, 11, 21, 33, 77, 231
165 : 1, 3, 5, 11, 15, 33, 55, 165
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,636,231,165,159, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
636:2x 2x 3x 53
231:3x 7x 11
165:3x 5x 11
159:3x 53
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 3x 3x 3x 11x 53 = 62964
Therefore, the value for common factors is 62964.
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 = 3592246054320/(1x62964)
LCM = 3592246054320/62964
LCM = 57052380
Thus, we can understand that the LCM of 932,636,231,165,159 is 57052380.
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FAQs on LCM of 932, 636, 231, 165, 159
1. What is the LCM of 932, 636, 231, 165, 159?
Answer: LCM of 932, 636, 231, 165, 159 is 57052380.
2. How to calculate the LCM of 932, 636, 231, 165, 159?
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 932, 636, 231, 165, 159.
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}.