Find the LCM of 969, 237, 904, 904, 509 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 969, 237, 904, 904, 509. So, keep reading to learn more.
Given numbers are 969,237,904,904,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,237,904,904,509 is 35223870936.
Find LCM of 969,237,904,904,509 with Prime Factorization
2 | 969, 237, 904, 904, 509 |
2 | 969, 237, 452, 452, 509 |
2 | 969, 237, 226, 226, 509 |
3 | 969, 237, 113, 113, 509 |
113 | 323, 79, 113, 113, 509 |
323, 79, 1, 1, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 323 x 79 x 1 x 1 x 509 = 35223870936
Therefore, the lowest common multiple of 969,237,904,904,509 is 35223870936.
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.
969 x 237 x 904 x 904 x 509 = 95527137978432
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
237 : 1, 3, 79, 237
904 : 1, 2, 4, 8, 113, 226, 452, 904
904 : 1, 2, 4, 8, 113, 226, 452, 904
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,237,904,904,509, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
237:3x 79
904:2x 2x 2x 113
904:2x 2x 2x 113
509:509
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 113 = 2712
Therefore, the value for common factors is 2712.
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 = 95527137978432/(1x2712)
LCM = 95527137978432/2712
LCM = 35223870936
Thus, we can understand that the LCM of 969,237,904,904,509 is 35223870936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 237, 904, 904, 509?
Answer: LCM of 969, 237, 904, 904, 509 is 35223870936.
2. How to calculate the LCM of 969, 237, 904, 904, 509?
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 969, 237, 904, 904, 509.
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}.