LCM of 867, 845, 578, 460, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 845, 578, 460, 747 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 867, 845, 578, 460, 747. So, keep reading to learn more.
Given numbers are 867,845,578,460,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,845,578,460,747 is 16782744420.
Find LCM of 867,845,578,460,747 with Prime Factorization
| 2 | 867, 845, 578, 460, 747 |
| 3 | 867, 845, 289, 230, 747 |
| 5 | 289, 845, 289, 230, 249 |
| 17 | 289, 169, 289, 46, 249 |
| 17 | 17, 169, 17, 46, 249 |
| 1, 169, 1, 46, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 17 x 1 x 169 x 1 x 46 x 249 = 16782744420
Therefore, the lowest common multiple of 867,845,578,460,747 is 16782744420.
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.
867 x 845 x 578 x 460 x 747 = 145506394121400
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.
867 : 1, 3, 17, 51, 289, 867
845 : 1, 5, 13, 65, 169, 845
578 : 1, 2, 17, 34, 289, 578
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,845,578,460,747, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
845:5x 13x 13
578:2x 17x 17
460:2x 2x 5x 23
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17x 17 = 8670
Therefore, the value for common factors is 8670.
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 = 145506394121400/(1x8670)
LCM = 145506394121400/8670
LCM = 16782744420
Thus, we can understand that the LCM of 867,845,578,460,747 is 16782744420.
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FAQs on LCM of 867, 845, 578, 460, 747
1. What is the LCM of 867, 845, 578, 460, 747?
Answer: LCM of 867, 845, 578, 460, 747 is 16782744420.
2. How to calculate the LCM of 867, 845, 578, 460, 747?
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 867, 845, 578, 460, 747.
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}.