LCM of 868, 988, 456, 231, 885
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 988, 456, 231, 885 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 868, 988, 456, 231, 885. So, keep reading to learn more.
Given numbers are 868,988,456,231,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,988,456,231,885 is 4174290120.
Find LCM of 868,988,456,231,885 with Prime Factorization
| 2 | 868, 988, 456, 231, 885 |
| 2 | 434, 494, 228, 231, 885 |
| 3 | 217, 247, 114, 231, 885 |
| 7 | 217, 247, 38, 77, 295 |
| 19 | 31, 247, 38, 11, 295 |
| 31, 13, 2, 11, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 31 x 13 x 2 x 11 x 295 = 4174290120
Therefore, the lowest common multiple of 868,988,456,231,885 is 4174290120.
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.
868 x 988 x 456 x 231 x 885 = 79946004378240
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
231 : 1, 3, 7, 11, 21, 33, 77, 231
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,988,456,231,885, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
988:2x 2x 13x 19
456:2x 2x 2x 3x 19
231:3x 7x 11
885:3x 5x 59
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 3x 3x 7x 19 = 19152
Therefore, the value for common factors is 19152.
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 = 79946004378240/(1x19152)
LCM = 79946004378240/19152
LCM = 4174290120
Thus, we can understand that the LCM of 868,988,456,231,885 is 4174290120.
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FAQs on LCM of 868, 988, 456, 231, 885
1. What is the LCM of 868, 988, 456, 231, 885?
Answer: LCM of 868, 988, 456, 231, 885 is 4174290120.
2. How to calculate the LCM of 868, 988, 456, 231, 885?
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 868, 988, 456, 231, 885.
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}.