Find the LCM of 765, 576, 281, 961, 217 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 765, 576, 281, 961, 217. So, keep reading to learn more.
Given numbers are 765,576,281,961,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,576,281,961,217 is 92548451520.
Find LCM of 765,576,281,961,217 with Prime Factorization
3 | 765, 576, 281, 961, 217 |
3 | 255, 192, 281, 961, 217 |
31 | 85, 64, 281, 961, 217 |
85, 64, 281, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 85 x 64 x 281 x 31 x 7 = 92548451520
Therefore, the lowest common multiple of 765,576,281,961,217 is 92548451520.
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.
765 x 576 x 281 x 961 x 217 = 25821017974080
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
281 : 1, 281
961 : 1, 31, 961
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,576,281,961,217, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
576:2x 2x 2x 2x 2x 2x 3x 3
281:281
961:31x 31
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 25821017974080/(1x279)
LCM = 25821017974080/279
LCM = 92548451520
Thus, we can understand that the LCM of 765,576,281,961,217 is 92548451520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 576, 281, 961, 217?
Answer: LCM of 765, 576, 281, 961, 217 is 92548451520.
2. How to calculate the LCM of 765, 576, 281, 961, 217?
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 765, 576, 281, 961, 217.
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}.