LCM of 592, 982, 982, 915, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 982, 982, 915, 850 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 592, 982, 982, 915, 850. So, keep reading to learn more.
Given numbers are 592,982,982,915,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,982,982,915,850 is 22607014800.
Find LCM of 592,982,982,915,850 with Prime Factorization
| 2 | 592, 982, 982, 915, 850 |
| 5 | 296, 491, 491, 915, 425 |
| 491 | 296, 491, 491, 183, 85 |
| 296, 1, 1, 183, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 491 x 296 x 1 x 1 x 183 x 85 = 22607014800
Therefore, the lowest common multiple of 592,982,982,915,850 is 22607014800.
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.
592 x 982 x 982 x 915 x 850 = 444001770672000
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
982 : 1, 2, 491, 982
982 : 1, 2, 491, 982
915 : 1, 3, 5, 15, 61, 183, 305, 915
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,982,982,915,850, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
982:2x 491
982:2x 491
915:3x 5x 61
850:2x 5x 5x 17
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 5x 491 = 19640
Therefore, the value for common factors is 19640.
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 = 444001770672000/(1x19640)
LCM = 444001770672000/19640
LCM = 22607014800
Thus, we can understand that the LCM of 592,982,982,915,850 is 22607014800.
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FAQs on LCM of 592, 982, 982, 915, 850
1. What is the LCM of 592, 982, 982, 915, 850?
Answer: LCM of 592, 982, 982, 915, 850 is 22607014800.
2. How to calculate the LCM of 592, 982, 982, 915, 850?
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 592, 982, 982, 915, 850.
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}.