LCM of 659, 629, 560, 444, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 629, 560, 444, 972 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 659, 629, 560, 444, 972. So, keep reading to learn more.
Given numbers are 659,629,560,444,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,629,560,444,972 is 56406656880.
Find LCM of 659,629,560,444,972 with Prime Factorization
| 2 | 659, 629, 560, 444, 972 |
| 2 | 659, 629, 280, 222, 486 |
| 3 | 659, 629, 140, 111, 243 |
| 37 | 659, 629, 140, 37, 81 |
| 659, 17, 140, 1, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 659 x 17 x 140 x 1 x 81 = 56406656880
Therefore, the lowest common multiple of 659,629,560,444,972 is 56406656880.
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.
659 x 629 x 560 x 444 x 972 = 100178222618880
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.
659 : 1, 659
629 : 1, 17, 37, 629
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,629,560,444,972, is 1.
Now, the common factors can be found like this.
659:659
629:17x 37
560:2x 2x 2x 2x 5x 7
444:2x 2x 3x 37
972:2x 2x 3x 3x 3x 3x 3
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 2x 3x 37 = 1776
Therefore, the value for common factors is 1776.
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 = 100178222618880/(1x1776)
LCM = 100178222618880/1776
LCM = 56406656880
Thus, we can understand that the LCM of 659,629,560,444,972 is 56406656880.
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FAQs on LCM of 659, 629, 560, 444, 972
1. What is the LCM of 659, 629, 560, 444, 972?
Answer: LCM of 659, 629, 560, 444, 972 is 56406656880.
2. How to calculate the LCM of 659, 629, 560, 444, 972?
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 659, 629, 560, 444, 972.
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}.