LCM of 696, 947, 964, 395, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 947, 964, 395, 928 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 696, 947, 964, 395, 928. So, keep reading to learn more.
Given numbers are 696,947,964,395,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,947,964,395,928 is 250976667360.
Find LCM of 696,947,964,395,928 with Prime Factorization
| 2 | 696, 947, 964, 395, 928 |
| 2 | 348, 947, 482, 395, 464 |
| 2 | 174, 947, 241, 395, 232 |
| 29 | 87, 947, 241, 395, 116 |
| 3, 947, 241, 395, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 3 x 947 x 241 x 395 x 4 = 250976667360
Therefore, the lowest common multiple of 696,947,964,395,928 is 250976667360.
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.
696 x 947 x 964 x 395 x 928 = 232906347310080
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
947 : 1, 947
964 : 1, 2, 4, 241, 482, 964
395 : 1, 5, 79, 395
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,947,964,395,928, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
947:947
964:2x 2x 241
395:5x 79
928:2x 2x 2x 2x 2x 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 29 = 928
Therefore, the value for common factors is 928.
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 = 232906347310080/(1x928)
LCM = 232906347310080/928
LCM = 250976667360
Thus, we can understand that the LCM of 696,947,964,395,928 is 250976667360.
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FAQs on LCM of 696, 947, 964, 395, 928
1. What is the LCM of 696, 947, 964, 395, 928?
Answer: LCM of 696, 947, 964, 395, 928 is 250976667360.
2. How to calculate the LCM of 696, 947, 964, 395, 928?
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 696, 947, 964, 395, 928.
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}.