LCM of 284, 124, 120, 590, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 124, 120, 590, 682 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 284, 124, 120, 590, 682. So, keep reading to learn more.
Given numbers are 284,124,120,590,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,124,120,590,682 is 171413880.
Find LCM of 284,124,120,590,682 with Prime Factorization
| 2 | 284, 124, 120, 590, 682 |
| 2 | 142, 62, 60, 295, 341 |
| 5 | 71, 31, 30, 295, 341 |
| 31 | 71, 31, 6, 59, 341 |
| 71, 1, 6, 59, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 71 x 1 x 6 x 59 x 11 = 171413880
Therefore, the lowest common multiple of 284,124,120,590,682 is 171413880.
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.
284 x 124 x 120 x 590 x 682 = 1700425689600
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.
284 : 1, 2, 4, 71, 142, 284
124 : 1, 2, 4, 31, 62, 124
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
590 : 1, 2, 5, 10, 59, 118, 295, 590
682 : 1, 2, 11, 22, 31, 62, 341, 682
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,124,120,590,682, is 2.
Now, the common factors can be found like this.
284:2x 2x 71
124:2x 2x 31
120:2x 2x 2x 3x 5
590:2x 5x 59
682:2x 11x 31
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 2x 5x 31 = 4960
Therefore, the value for common factors is 4960.
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 = 1700425689600/(2x4960)
LCM = 1700425689600/9920
LCM = 171413880
Thus, we can understand that the LCM of 284,124,120,590,682 is 171413880.
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FAQs on LCM of 284, 124, 120, 590, 682
1. What is the LCM of 284, 124, 120, 590, 682?
Answer: LCM of 284, 124, 120, 590, 682 is 171413880.
2. How to calculate the LCM of 284, 124, 120, 590, 682?
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 284, 124, 120, 590, 682.
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}.