LCM of 884, 689, 690, 451, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 689, 690, 451, 954 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 884, 689, 690, 451, 954. So, keep reading to learn more.
Given numbers are 884,689,690,451,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,689,690,451,954 is 21869810820.
Find LCM of 884,689,690,451,954 with Prime Factorization
| 2 | 884, 689, 690, 451, 954 |
| 3 | 442, 689, 345, 451, 477 |
| 13 | 442, 689, 115, 451, 159 |
| 53 | 34, 53, 115, 451, 159 |
| 34, 1, 115, 451, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 34 x 1 x 115 x 451 x 3 = 21869810820
Therefore, the lowest common multiple of 884,689,690,451,954 is 21869810820.
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.
884 x 689 x 690 x 451 x 954 = 180819595859760
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
689 : 1, 13, 53, 689
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
451 : 1, 11, 41, 451
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,689,690,451,954, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
689:13x 53
690:2x 3x 5x 23
451:11x 41
954:2x 3x 3x 53
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 13x 53 = 8268
Therefore, the value for common factors is 8268.
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 = 180819595859760/(1x8268)
LCM = 180819595859760/8268
LCM = 21869810820
Thus, we can understand that the LCM of 884,689,690,451,954 is 21869810820.
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FAQs on LCM of 884, 689, 690, 451, 954
1. What is the LCM of 884, 689, 690, 451, 954?
Answer: LCM of 884, 689, 690, 451, 954 is 21869810820.
2. How to calculate the LCM of 884, 689, 690, 451, 954?
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 884, 689, 690, 451, 954.
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}.