LCM of 125, 241, 964, 690, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 241, 964, 690, 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 125, 241, 964, 690, 696. So, keep reading to learn more.
Given numbers are 125,241,964,690,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,241,964,690,696 is 482241000.
Find LCM of 125,241,964,690,696 with Prime Factorization
| 2 | 125, 241, 964, 690, 696 |
| 2 | 125, 241, 482, 345, 348 |
| 3 | 125, 241, 241, 345, 174 |
| 5 | 125, 241, 241, 115, 58 |
| 241 | 25, 241, 241, 23, 58 |
| 25, 1, 1, 23, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 25 x 1 x 1 x 23 x 58 = 482241000
Therefore, the lowest common multiple of 125,241,964,690,696 is 482241000.
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.
125 x 241 x 964 x 690 x 696 = 13946409720000
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.
125 : 1, 5, 25, 125
241 : 1, 241
964 : 1, 2, 4, 241, 482, 964
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,241,964,690,696, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
241:241
964:2x 2x 241
690:2x 3x 5x 23
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 3x 5x 241 = 28920
Therefore, the value for common factors is 28920.
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 = 13946409720000/(1x28920)
LCM = 13946409720000/28920
LCM = 482241000
Thus, we can understand that the LCM of 125,241,964,690,696 is 482241000.
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FAQs on LCM of 125, 241, 964, 690, 696
1. What is the LCM of 125, 241, 964, 690, 696?
Answer: LCM of 125, 241, 964, 690, 696 is 482241000.
2. How to calculate the LCM of 125, 241, 964, 690, 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 125, 241, 964, 690, 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}.