LCM of 282, 392, 806, 589, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 392, 806, 589, 364 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 282, 392, 806, 589, 364. So, keep reading to learn more.
Given numbers are 282,392,806,589,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,392,806,589,364 is 423217704.
Find LCM of 282,392,806,589,364 with Prime Factorization
| 2 | 282, 392, 806, 589, 364 |
| 2 | 141, 196, 403, 589, 182 |
| 7 | 141, 98, 403, 589, 91 |
| 13 | 141, 14, 403, 589, 13 |
| 31 | 141, 14, 31, 589, 1 |
| 141, 14, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 31 x 141 x 14 x 1 x 19 x 1 = 423217704
Therefore, the lowest common multiple of 282,392,806,589,364 is 423217704.
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.
282 x 392 x 806 x 589 x 364 = 19102354287744
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
806 : 1, 2, 13, 26, 31, 62, 403, 806
589 : 1, 19, 31, 589
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,392,806,589,364, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
392:2x 2x 2x 7x 7
806:2x 13x 31
589:19x 31
364:2x 2x 7x 13
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 7x 13x 31 = 45136
Therefore, the value for common factors is 45136.
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 = 19102354287744/(1x45136)
LCM = 19102354287744/45136
LCM = 423217704
Thus, we can understand that the LCM of 282,392,806,589,364 is 423217704.
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FAQs on LCM of 282, 392, 806, 589, 364
1. What is the LCM of 282, 392, 806, 589, 364?
Answer: LCM of 282, 392, 806, 589, 364 is 423217704.
2. How to calculate the LCM of 282, 392, 806, 589, 364?
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 282, 392, 806, 589, 364.
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}.