LCM of 264, 867, 868, 211, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 867, 868, 211, 459 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 264, 867, 868, 211, 459. So, keep reading to learn more.
Given numbers are 264,867,868,211,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,867,868,211,459 is 31440284568.
Find LCM of 264,867,868,211,459 with Prime Factorization
| 2 | 264, 867, 868, 211, 459 |
| 2 | 132, 867, 434, 211, 459 |
| 3 | 66, 867, 217, 211, 459 |
| 17 | 22, 289, 217, 211, 153 |
| 22, 17, 217, 211, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 22 x 17 x 217 x 211 x 9 = 31440284568
Therefore, the lowest common multiple of 264,867,868,211,459 is 31440284568.
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.
264 x 867 x 868 x 211 x 459 = 19241454155616
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
867 : 1, 3, 17, 51, 289, 867
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
211 : 1, 211
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,867,868,211,459, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
867:3x 17x 17
868:2x 2x 7x 31
211:211
459:3x 3x 3x 17
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 17 = 612
Therefore, the value for common factors is 612.
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 = 19241454155616/(1x612)
LCM = 19241454155616/612
LCM = 31440284568
Thus, we can understand that the LCM of 264,867,868,211,459 is 31440284568.
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FAQs on LCM of 264, 867, 868, 211, 459
1. What is the LCM of 264, 867, 868, 211, 459?
Answer: LCM of 264, 867, 868, 211, 459 is 31440284568.
2. How to calculate the LCM of 264, 867, 868, 211, 459?
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 264, 867, 868, 211, 459.
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}.