LCM of 729, 954, 444, 882, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 954, 444, 882, 988 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 729, 954, 444, 882, 988. So, keep reading to learn more.
Given numbers are 729,954,444,882,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,954,444,882,988 is 69208294428.
Find LCM of 729,954,444,882,988 with Prime Factorization
| 2 | 729, 954, 444, 882, 988 |
| 2 | 729, 477, 222, 441, 494 |
| 3 | 729, 477, 111, 441, 247 |
| 3 | 243, 159, 37, 147, 247 |
| 81, 53, 37, 49, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 81 x 53 x 37 x 49 x 247 = 69208294428
Therefore, the lowest common multiple of 729,954,444,882,988 is 69208294428.
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.
729 x 954 x 444 x 882 x 988 = 269081848736064
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.
729 : 1, 3, 9, 27, 81, 243, 729
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,954,444,882,988, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
954:2x 3x 3x 53
444:2x 2x 3x 37
882:2x 3x 3x 7x 7
988:2x 2x 13x 19
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 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 269081848736064/(1x3888)
LCM = 269081848736064/3888
LCM = 69208294428
Thus, we can understand that the LCM of 729,954,444,882,988 is 69208294428.
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FAQs on LCM of 729, 954, 444, 882, 988
1. What is the LCM of 729, 954, 444, 882, 988?
Answer: LCM of 729, 954, 444, 882, 988 is 69208294428.
2. How to calculate the LCM of 729, 954, 444, 882, 988?
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 729, 954, 444, 882, 988.
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}.