Find the LCM of 928, 758, 633, 198, 952 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 928, 758, 633, 198, 952. So, keep reading to learn more.
Given numbers are 928,758,633,198,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,758,633,198,952 is 874282524192.
Find LCM of 928,758,633,198,952 with Prime Factorization
2 | 928, 758, 633, 198, 952 |
2 | 464, 379, 633, 99, 476 |
2 | 232, 379, 633, 99, 238 |
3 | 116, 379, 633, 99, 119 |
116, 379, 211, 33, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 116 x 379 x 211 x 33 x 119 = 874282524192
Therefore, the lowest common multiple of 928,758,633,198,952 is 874282524192.
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.
928 x 758 x 633 x 198 x 952 = 83931122322432
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
758 : 1, 2, 379, 758
633 : 1, 3, 211, 633
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,758,633,198,952, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
758:2x 379
633:3x 211
198:2x 3x 3x 11
952:2x 2x 2x 7x 17
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 83931122322432/(1x96)
LCM = 83931122322432/96
LCM = 874282524192
Thus, we can understand that the LCM of 928,758,633,198,952 is 874282524192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 758, 633, 198, 952?
Answer: LCM of 928, 758, 633, 198, 952 is 874282524192.
2. How to calculate the LCM of 928, 758, 633, 198, 952?
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 928, 758, 633, 198, 952.
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}.