LCM of 588, 849, 621, 828, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 849, 621, 828, 845 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 588, 849, 621, 828, 845. So, keep reading to learn more.
Given numbers are 588,849,621,828,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,849,621,828,845 is 29106555660.
Find LCM of 588,849,621,828,845 with Prime Factorization
| 2 | 588, 849, 621, 828, 845 |
| 2 | 294, 849, 621, 414, 845 |
| 3 | 147, 849, 621, 207, 845 |
| 3 | 49, 283, 69, 207, 845 |
| 23 | 49, 283, 23, 69, 845 |
| 49, 283, 1, 3, 845 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 49 x 283 x 1 x 3 x 845 = 29106555660
Therefore, the lowest common multiple of 588,849,621,828,845 is 29106555660.
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.
588 x 849 x 621 x 828 x 845 = 216902052778320
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
849 : 1, 3, 283, 849
621 : 1, 3, 9, 23, 27, 69, 207, 621
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,849,621,828,845, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
849:3x 283
621:3x 3x 3x 23
828:2x 2x 3x 3x 23
845:5x 13x 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 3x 3x 3x 3x 23 = 7452
Therefore, the value for common factors is 7452.
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 = 216902052778320/(1x7452)
LCM = 216902052778320/7452
LCM = 29106555660
Thus, we can understand that the LCM of 588,849,621,828,845 is 29106555660.
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FAQs on LCM of 588, 849, 621, 828, 845
1. What is the LCM of 588, 849, 621, 828, 845?
Answer: LCM of 588, 849, 621, 828, 845 is 29106555660.
2. How to calculate the LCM of 588, 849, 621, 828, 845?
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 588, 849, 621, 828, 845.
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}.