LCM of 561, 232, 963, 486, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 232, 963, 486, 975 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, 232, 963, 486, 975. So, keep reading to learn more.
Given numbers are 561,232,963,486,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,232,963,486,975 is 366608899800.
Find LCM of 561,232,963,486,975 with Prime Factorization
| 2 | 561, 232, 963, 486, 975 |
| 3 | 561, 116, 963, 243, 975 |
| 3 | 187, 116, 321, 81, 325 |
| 187, 116, 107, 27, 325 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 187 x 116 x 107 x 27 x 325 = 366608899800
Therefore, the lowest common multiple of 561,232,963,486,975 is 366608899800.
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 232 x 963 x 486 x 975 = 59390641767600
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
232 : 1, 2, 4, 8, 29, 58, 116, 232
963 : 1, 3, 9, 107, 321, 963
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,232,963,486,975, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
232:2x 2x 2x 29
963:3x 3x 107
486:2x 3x 3x 3x 3x 3
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 59390641767600/(1x162)
LCM = 59390641767600/162
LCM = 366608899800
Thus, we can understand that the LCM of 561,232,963,486,975 is 366608899800.
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FAQs on LCM of 561, 232, 963, 486, 975
1. What is the LCM of 561, 232, 963, 486, 975?
Answer: LCM of 561, 232, 963, 486, 975 is 366608899800.
2. How to calculate the LCM of 561, 232, 963, 486, 975?
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, 232, 963, 486, 975.
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}.