LCM of 764, 330, 470, 832, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 330, 470, 832, 696 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, 330, 470, 832, 696. So, keep reading to learn more.
Given numbers are 764,330,470,832,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,330,470,832,696 is 35738514240.
Find LCM of 764,330,470,832,696 with Prime Factorization
| 2 | 764, 330, 470, 832, 696 |
| 2 | 382, 165, 235, 416, 348 |
| 2 | 191, 165, 235, 208, 174 |
| 3 | 191, 165, 235, 104, 87 |
| 5 | 191, 55, 235, 104, 29 |
| 191, 11, 47, 104, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 191 x 11 x 47 x 104 x 29 = 35738514240
Therefore, the lowest common multiple of 764,330,470,832,696 is 35738514240.
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 330 x 470 x 832 x 696 = 68617947340800
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
470 : 1, 2, 5, 10, 47, 94, 235, 470
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,330,470,832,696, is 2.
Now, the common factors can be found like this.
764:2x 2x 191
330:2x 3x 5x 11
470:2x 5x 47
832:2x 2x 2x 2x 2x 2x 13
696:2x 2x 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 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 68617947340800/(2x960)
LCM = 68617947340800/1920
LCM = 35738514240
Thus, we can understand that the LCM of 764,330,470,832,696 is 35738514240.
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FAQs on LCM of 764, 330, 470, 832, 696
1. What is the LCM of 764, 330, 470, 832, 696?
Answer: LCM of 764, 330, 470, 832, 696 is 35738514240.
2. How to calculate the LCM of 764, 330, 470, 832, 696?
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, 330, 470, 832, 696.
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}.