LCM of 561, 987, 765, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 987, 765, 966 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, 987, 765, 966. So, keep reading to learn more.
Given numbers are 561,987,765,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,987,765,966 is 127352610.
Find LCM of 561,987,765,966 with Prime Factorization
| 3 | 561, 987, 765, 966 |
| 7 | 187, 329, 255, 322 |
| 17 | 187, 47, 255, 46 |
| 11, 47, 15, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 11 x 47 x 15 x 46 = 127352610
Therefore, the lowest common multiple of 561,987,765,966 is 127352610.
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 987 x 765 x 966 = 409183935930
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,987,765,966, is 3.
Now, the common factors can be found like this.
561:3x 11x 17
987:3x 7x 47
765:3x 3x 5x 17
966:2x 3x 7x 23
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 7x 17 = 1071
Therefore, the value for common factors is 1071.
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 = 409183935930/(3x1071)
LCM = 409183935930/3213
LCM = 127352610
Thus, we can understand that the LCM of 561,987,765,966 is 127352610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 987, 765, 966
1. What is the LCM of 561, 987, 765, 966?
Answer: LCM of 561, 987, 765, 966 is 127352610.
2. How to calculate the LCM of 561, 987, 765, 966?
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, 987, 765, 966.
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}.