LCM of 764, 720, 891, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 720, 891, 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 764, 720, 891, 174. So, keep reading to learn more.
Given numbers are 764,720,891,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,720,891,174 is 394819920.
Find LCM of 764,720,891,174 with Prime Factorization
| 2 | 764, 720, 891, 174 |
| 2 | 382, 360, 891, 87 |
| 3 | 191, 180, 891, 87 |
| 3 | 191, 60, 297, 29 |
| 191, 20, 99, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 191 x 20 x 99 x 29 = 394819920
Therefore, the lowest common multiple of 764,720,891,174 is 394819920.
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.
764 x 720 x 891 x 174 = 85281102720
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.
764 : 1, 2, 4, 191, 382, 764
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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 764,720,891,174, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
720:2x 2x 2x 2x 3x 3x 5
891:3x 3x 3x 3x 11
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 85281102720/(1x216)
LCM = 85281102720/216
LCM = 394819920
Thus, we can understand that the LCM of 764,720,891,174 is 394819920.
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FAQs on LCM of 764, 720, 891, 174
1. What is the LCM of 764, 720, 891, 174?
Answer: LCM of 764, 720, 891, 174 is 394819920.
2. How to calculate the LCM of 764, 720, 891, 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 764, 720, 891, 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}.