Find the LCM of 889, 943, 598, 949, 138 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, 943, 598, 949, 138. So, keep reading to learn more.
Given numbers are 889,943,598,949,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,943,598,949,138 is 4773433938.
Find LCM of 889,943,598,949,138 with Prime Factorization
2 | 889, 943, 598, 949, 138 |
13 | 889, 943, 299, 949, 69 |
23 | 889, 943, 23, 73, 69 |
889, 41, 1, 73, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 889 x 41 x 1 x 73 x 3 = 4773433938
Therefore, the lowest common multiple of 889,943,598,949,138 is 4773433938.
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 943 x 598 x 949 x 138 = 65653810383252
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
943 : 1, 23, 41, 943
598 : 1, 2, 13, 23, 26, 46, 299, 598
949 : 1, 13, 73, 949
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,943,598,949,138, is 1.
Now, the common factors can be found like this.
889:7x 127
943:23x 41
598:2x 13x 23
949:13x 73
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 23x 23 = 13754
Therefore, the value for common factors is 13754.
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 = 65653810383252/(1x13754)
LCM = 65653810383252/13754
LCM = 4773433938
Thus, we can understand that the LCM of 889,943,598,949,138 is 4773433938.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 889, 943, 598, 949, 138?
Answer: LCM of 889, 943, 598, 949, 138 is 4773433938.
2. How to calculate the LCM of 889, 943, 598, 949, 138?
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, 943, 598, 949, 138.
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}.