LCM of 867, 816, 965, 904, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 816, 965, 904, 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 867, 816, 965, 904, 174. So, keep reading to learn more.
Given numbers are 867,816,965,904,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,816,965,904,174 is 43867494960.
Find LCM of 867,816,965,904,174 with Prime Factorization
| 2 | 867, 816, 965, 904, 174 |
| 2 | 867, 408, 965, 452, 87 |
| 2 | 867, 204, 965, 226, 87 |
| 3 | 867, 102, 965, 113, 87 |
| 17 | 289, 34, 965, 113, 29 |
| 17, 2, 965, 113, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 17 x 2 x 965 x 113 x 29 = 43867494960
Therefore, the lowest common multiple of 867,816,965,904,174 is 43867494960.
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.
867 x 816 x 965 x 904 x 174 = 107387627662080
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.
867 : 1, 3, 17, 51, 289, 867
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
965 : 1, 5, 193, 965
904 : 1, 2, 4, 8, 113, 226, 452, 904
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 867,816,965,904,174, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
816:2x 2x 2x 2x 3x 17
965:5x 193
904:2x 2x 2x 113
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 2x 2x 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 107387627662080/(1x2448)
LCM = 107387627662080/2448
LCM = 43867494960
Thus, we can understand that the LCM of 867,816,965,904,174 is 43867494960.
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FAQs on LCM of 867, 816, 965, 904, 174
1. What is the LCM of 867, 816, 965, 904, 174?
Answer: LCM of 867, 816, 965, 904, 174 is 43867494960.
2. How to calculate the LCM of 867, 816, 965, 904, 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 867, 816, 965, 904, 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}.