Find the LCM of 889, 418, 342, 219, 629 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 889, 418, 342, 219, 629. So, keep reading to learn more.
Given numbers are 889,418,342,219,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,418,342,219,629 is 153565641306.
Find LCM of 889,418,342,219,629 with Prime Factorization
2 | 889, 418, 342, 219, 629 |
3 | 889, 209, 171, 219, 629 |
19 | 889, 209, 57, 73, 629 |
889, 11, 3, 73, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 889 x 11 x 3 x 73 x 629 = 153565641306
Therefore, the lowest common multiple of 889,418,342,219,629 is 153565641306.
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.
889 x 418 x 342 x 219 x 629 = 17506483108884
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.
889 : 1, 7, 127, 889
418 : 1, 2, 11, 19, 22, 38, 209, 418
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
219 : 1, 3, 73, 219
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,418,342,219,629, is 1.
Now, the common factors can be found like this.
889:7x 127
418:2x 11x 19
342:2x 3x 3x 19
219:3x 73
629:17x 37
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 19 = 114
Therefore, the value for common factors is 114.
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 = 17506483108884/(1x114)
LCM = 17506483108884/114
LCM = 153565641306
Thus, we can understand that the LCM of 889,418,342,219,629 is 153565641306.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 889, 418, 342, 219, 629?
Answer: LCM of 889, 418, 342, 219, 629 is 153565641306.
2. How to calculate the LCM of 889, 418, 342, 219, 629?
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 889, 418, 342, 219, 629.
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}.