Find the LCM of 121, 969, 874, 430, 174 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 121, 969, 874, 430, 174. So, keep reading to learn more.
Given numbers are 121,969,874,430,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,969,874,430,174 is 33628185690.
Find LCM of 121,969,874,430,174 with Prime Factorization
2 | 121, 969, 874, 430, 174 |
3 | 121, 969, 437, 215, 87 |
19 | 121, 323, 437, 215, 29 |
121, 17, 23, 215, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 121 x 17 x 23 x 215 x 29 = 33628185690
Therefore, the lowest common multiple of 121,969,874,430,174 is 33628185690.
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.
121 x 969 x 874 x 430 x 174 = 7667226337320
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.
121 : 1, 11, 121
969 : 1, 3, 17, 19, 51, 57, 323, 969
874 : 1, 2, 19, 23, 38, 46, 437, 874
430 : 1, 2, 5, 10, 43, 86, 215, 430
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,969,874,430,174, is 1.
Now, the common factors can be found like this.
121:11x 11
969:3x 17x 19
874:2x 19x 23
430:2x 5x 43
174:2x 3x 29
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 19 = 228
Therefore, the value for common factors is 228.
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 = 7667226337320/(1x228)
LCM = 7667226337320/228
LCM = 33628185690
Thus, we can understand that the LCM of 121,969,874,430,174 is 33628185690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 969, 874, 430, 174?
Answer: LCM of 121, 969, 874, 430, 174 is 33628185690.
2. How to calculate the LCM of 121, 969, 874, 430, 174?
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 121, 969, 874, 430, 174.
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}.