LCM of 954, 979, 689, 623, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 979, 689, 623, 822 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 954, 979, 689, 623, 822. So, keep reading to learn more.
Given numbers are 954,979,689,623,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,979,689,623,822 is 11643754122.
Find LCM of 954,979,689,623,822 with Prime Factorization
| 2 | 954, 979, 689, 623, 822 |
| 3 | 477, 979, 689, 623, 411 |
| 53 | 159, 979, 689, 623, 137 |
| 89 | 3, 979, 13, 623, 137 |
| 3, 11, 13, 7, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 89 x 3 x 11 x 13 x 7 x 137 = 11643754122
Therefore, the lowest common multiple of 954,979,689,623,822 is 11643754122.
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.
954 x 979 x 689 x 623 x 822 = 329541529160844
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
979 : 1, 11, 89, 979
689 : 1, 13, 53, 689
623 : 1, 7, 89, 623
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,979,689,623,822, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
979:11x 89
689:13x 53
623:7x 89
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 53x 89 = 28302
Therefore, the value for common factors is 28302.
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 = 329541529160844/(1x28302)
LCM = 329541529160844/28302
LCM = 11643754122
Thus, we can understand that the LCM of 954,979,689,623,822 is 11643754122.
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FAQs on LCM of 954, 979, 689, 623, 822
1. What is the LCM of 954, 979, 689, 623, 822?
Answer: LCM of 954, 979, 689, 623, 822 is 11643754122.
2. How to calculate the LCM of 954, 979, 689, 623, 822?
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 954, 979, 689, 623, 822.
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}.