LCM of 822, 132, 582, 429, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 132, 582, 429, 975 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 822, 132, 582, 429, 975. So, keep reading to learn more.
Given numbers are 822,132,582,429,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,132,582,429,975 is 570098100.
Find LCM of 822,132,582,429,975 with Prime Factorization
| 2 | 822, 132, 582, 429, 975 |
| 3 | 411, 66, 291, 429, 975 |
| 11 | 137, 22, 97, 143, 325 |
| 13 | 137, 2, 97, 13, 325 |
| 137, 2, 97, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 137 x 2 x 97 x 1 x 25 = 570098100
Therefore, the lowest common multiple of 822,132,582,429,975 is 570098100.
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.
822 x 132 x 582 x 429 x 975 = 26413785169200
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
582 : 1, 2, 3, 6, 97, 194, 291, 582
429 : 1, 3, 11, 13, 33, 39, 143, 429
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,132,582,429,975, is 3.
Now, the common factors can be found like this.
822:2x 3x 137
132:2x 2x 3x 11
582:2x 3x 97
429:3x 11x 13
975:3x 5x 5x 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 11x 13 = 15444
Therefore, the value for common factors is 15444.
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 = 26413785169200/(3x15444)
LCM = 26413785169200/46332
LCM = 570098100
Thus, we can understand that the LCM of 822,132,582,429,975 is 570098100.
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FAQs on LCM of 822, 132, 582, 429, 975
1. What is the LCM of 822, 132, 582, 429, 975?
Answer: LCM of 822, 132, 582, 429, 975 is 570098100.
2. How to calculate the LCM of 822, 132, 582, 429, 975?
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 822, 132, 582, 429, 975.
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}.