LCM of 216, 588, 891, 212, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 588, 891, 212, 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 216, 588, 891, 212, 132. So, keep reading to learn more.
Given numbers are 216,588,891,212,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,588,891,212,132 is 18511416.
Find LCM of 216,588,891,212,132 with Prime Factorization
| 2 | 216, 588, 891, 212, 132 |
| 2 | 108, 294, 891, 106, 66 |
| 3 | 54, 147, 891, 53, 33 |
| 3 | 18, 49, 297, 53, 11 |
| 3 | 6, 49, 99, 53, 11 |
| 11 | 2, 49, 33, 53, 11 |
| 2, 49, 3, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 11 x 2 x 49 x 3 x 53 x 1 = 18511416
Therefore, the lowest common multiple of 216,588,891,212,132 is 18511416.
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.
216 x 588 x 891 x 212 x 132 = 3166784957952
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
212 : 1, 2, 4, 53, 106, 212
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,588,891,212,132, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
588:2x 2x 3x 7x 7
891:3x 3x 3x 3x 11
212:2x 2x 53
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 2x 2x 2x 3x 3x 3x 3x 3x 11 = 171072
Therefore, the value for common factors is 171072.
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 = 3166784957952/(1x171072)
LCM = 3166784957952/171072
LCM = 18511416
Thus, we can understand that the LCM of 216,588,891,212,132 is 18511416.
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FAQs on LCM of 216, 588, 891, 212, 132
1. What is the LCM of 216, 588, 891, 212, 132?
Answer: LCM of 216, 588, 891, 212, 132 is 18511416.
2. How to calculate the LCM of 216, 588, 891, 212, 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 216, 588, 891, 212, 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}.