Find the LCM of 956, 849, 969, 829, 912 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 956, 849, 969, 829, 912. So, keep reading to learn more.
Given numbers are 956,849,969,829,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,849,969,829,912 is 869325915792.
Find LCM of 956,849,969,829,912 with Prime Factorization
2 | 956, 849, 969, 829, 912 |
2 | 478, 849, 969, 829, 456 |
3 | 239, 849, 969, 829, 228 |
19 | 239, 283, 323, 829, 76 |
239, 283, 17, 829, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 239 x 283 x 17 x 829 x 4 = 869325915792
Therefore, the lowest common multiple of 956,849,969,829,912 is 869325915792.
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.
956 x 849 x 969 x 829 x 912 = 594618926401728
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.
956 : 1, 2, 4, 239, 478, 956
849 : 1, 3, 283, 849
969 : 1, 3, 17, 19, 51, 57, 323, 969
829 : 1, 829
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,849,969,829,912, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
849:3x 283
969:3x 17x 19
829:829
912:2x 2x 2x 2x 3x 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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 594618926401728/(1x684)
LCM = 594618926401728/684
LCM = 869325915792
Thus, we can understand that the LCM of 956,849,969,829,912 is 869325915792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 956, 849, 969, 829, 912?
Answer: LCM of 956, 849, 969, 829, 912 is 869325915792.
2. How to calculate the LCM of 956, 849, 969, 829, 912?
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 956, 849, 969, 829, 912.
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}.