LCM of 884, 301, 391, 460, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 301, 391, 460, 729 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 884, 301, 391, 460, 729. So, keep reading to learn more.
Given numbers are 884,301,391,460,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,301,391,460,729 is 22307152140.
Find LCM of 884,301,391,460,729 with Prime Factorization
| 2 | 884, 301, 391, 460, 729 |
| 2 | 442, 301, 391, 230, 729 |
| 17 | 221, 301, 391, 115, 729 |
| 23 | 13, 301, 23, 115, 729 |
| 13, 301, 1, 5, 729 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 23 x 13 x 301 x 1 x 5 x 729 = 22307152140
Therefore, the lowest common multiple of 884,301,391,460,729 is 22307152140.
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.
884 x 301 x 391 x 460 x 729 = 34888385946960
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
301 : 1, 7, 43, 301
391 : 1, 17, 23, 391
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,301,391,460,729, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
301:7x 43
391:17x 23
460:2x 2x 5x 23
729:3x 3x 3x 3x 3x 3
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 34888385946960/(1x1564)
LCM = 34888385946960/1564
LCM = 22307152140
Thus, we can understand that the LCM of 884,301,391,460,729 is 22307152140.
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FAQs on LCM of 884, 301, 391, 460, 729
1. What is the LCM of 884, 301, 391, 460, 729?
Answer: LCM of 884, 301, 391, 460, 729 is 22307152140.
2. How to calculate the LCM of 884, 301, 391, 460, 729?
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 884, 301, 391, 460, 729.
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}.