Find the LCM of 123, 888, 913, 760, 969 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 123, 888, 913, 760, 969. So, keep reading to learn more.
Given numbers are 123,888,913,760,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,888,913,760,969 is 53683413960.
Find LCM of 123,888,913,760,969 with Prime Factorization
2 | 123, 888, 913, 760, 969 |
2 | 123, 444, 913, 380, 969 |
2 | 123, 222, 913, 190, 969 |
3 | 123, 111, 913, 95, 969 |
19 | 41, 37, 913, 95, 323 |
41, 37, 913, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 41 x 37 x 913 x 5 x 17 = 53683413960
Therefore, the lowest common multiple of 123,888,913,760,969 is 53683413960.
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.
123 x 888 x 913 x 760 x 969 = 73438910297280
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.
123 : 1, 3, 41, 123
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
913 : 1, 11, 83, 913
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,888,913,760,969, is 1.
Now, the common factors can be found like this.
123:3x 41
888:2x 2x 2x 3x 37
913:11x 83
760:2x 2x 2x 5x 19
969:3x 17x 19
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 73438910297280/(1x1368)
LCM = 73438910297280/1368
LCM = 53683413960
Thus, we can understand that the LCM of 123,888,913,760,969 is 53683413960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 123, 888, 913, 760, 969?
Answer: LCM of 123, 888, 913, 760, 969 is 53683413960.
2. How to calculate the LCM of 123, 888, 913, 760, 969?
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 123, 888, 913, 760, 969.
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}.