LCM of 561, 715, 964, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 715, 964, 964 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 561, 715, 964, 964. So, keep reading to learn more.
Given numbers are 561,715,964,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,715,964,964 is 35152260.
Find LCM of 561,715,964,964 with Prime Factorization
| 2 | 561, 715, 964, 964 |
| 2 | 561, 715, 482, 482 |
| 11 | 561, 715, 241, 241 |
| 241 | 51, 65, 241, 241 |
| 51, 65, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 241 x 51 x 65 x 1 x 1 = 35152260
Therefore, the lowest common multiple of 561,715,964,964 is 35152260.
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.
561 x 715 x 964 x 964 = 372754565040
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
715 : 1, 5, 11, 13, 55, 65, 143, 715
964 : 1, 2, 4, 241, 482, 964
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,715,964,964, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
715:5x 11x 13
964:2x 2x 241
964:2x 2x 241
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 11x 241 = 10604
Therefore, the value for common factors is 10604.
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 = 372754565040/(1x10604)
LCM = 372754565040/10604
LCM = 35152260
Thus, we can understand that the LCM of 561,715,964,964 is 35152260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 715, 964, 964
1. What is the LCM of 561, 715, 964, 964?
Answer: LCM of 561, 715, 964, 964 is 35152260.
2. How to calculate the LCM of 561, 715, 964, 964?
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 561, 715, 964, 964.
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}.