LCM of 822, 810, 639, 454, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 810, 639, 454, 973 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, 810, 639, 454, 973. So, keep reading to learn more.
Given numbers are 822,810,639,454,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,810,639,454,973 is 1740213895770.
Find LCM of 822,810,639,454,973 with Prime Factorization
| 2 | 822, 810, 639, 454, 973 |
| 3 | 411, 405, 639, 227, 973 |
| 3 | 137, 135, 213, 227, 973 |
| 137, 45, 71, 227, 973 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 137 x 45 x 71 x 227 x 973 = 1740213895770
Therefore, the lowest common multiple of 822,810,639,454,973 is 1740213895770.
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 810 x 639 x 454 x 973 = 187943100743160
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
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
639 : 1, 3, 9, 71, 213, 639
454 : 1, 2, 227, 454
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,810,639,454,973, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
810:2x 3x 3x 3x 3x 5
639:3x 3x 71
454:2x 227
973:7x 139
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 3 = 108
Therefore, the value for common factors is 108.
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 = 187943100743160/(1x108)
LCM = 187943100743160/108
LCM = 1740213895770
Thus, we can understand that the LCM of 822,810,639,454,973 is 1740213895770.
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FAQs on LCM of 822, 810, 639, 454, 973
1. What is the LCM of 822, 810, 639, 454, 973?
Answer: LCM of 822, 810, 639, 454, 973 is 1740213895770.
2. How to calculate the LCM of 822, 810, 639, 454, 973?
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, 810, 639, 454, 973.
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}.