LCM of 721, 234, 954, 114, 886
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 234, 954, 114, 886 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 721, 234, 954, 114, 886. So, keep reading to learn more.
Given numbers are 721,234,954,114,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,234,954,114,886 is 75263484114.
Find LCM of 721,234,954,114,886 with Prime Factorization
| 2 | 721, 234, 954, 114, 886 |
| 3 | 721, 117, 477, 57, 443 |
| 3 | 721, 39, 159, 19, 443 |
| 721, 13, 53, 19, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 721 x 13 x 53 x 19 x 443 = 75263484114
Therefore, the lowest common multiple of 721,234,954,114,886 is 75263484114.
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.
721 x 234 x 954 x 114 x 886 = 16256912568624
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.
721 : 1, 7, 103, 721
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
114 : 1, 2, 3, 6, 19, 38, 57, 114
886 : 1, 2, 443, 886
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,234,954,114,886, is 1.
Now, the common factors can be found like this.
721:7x 103
234:2x 3x 3x 13
954:2x 3x 3x 53
114:2x 3x 19
886:2x 443
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 16256912568624/(1x216)
LCM = 16256912568624/216
LCM = 75263484114
Thus, we can understand that the LCM of 721,234,954,114,886 is 75263484114.
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FAQs on LCM of 721, 234, 954, 114, 886
1. What is the LCM of 721, 234, 954, 114, 886?
Answer: LCM of 721, 234, 954, 114, 886 is 75263484114.
2. How to calculate the LCM of 721, 234, 954, 114, 886?
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 721, 234, 954, 114, 886.
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}.