LCM of 659, 918, 100, 114, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 918, 100, 114, 992 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, 918, 100, 114, 992. So, keep reading to learn more.
Given numbers are 659,918,100,114,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,918,100,114,992 is 142529047200.
Find LCM of 659,918,100,114,992 with Prime Factorization
| 2 | 659, 918, 100, 114, 992 |
| 2 | 659, 459, 50, 57, 496 |
| 3 | 659, 459, 25, 57, 248 |
| 659, 153, 25, 19, 248 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 659 x 153 x 25 x 19 x 248 = 142529047200
Therefore, the lowest common multiple of 659,918,100,114,992 is 142529047200.
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 918 x 100 x 114 x 992 = 6841394265600
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
114 : 1, 2, 3, 6, 19, 38, 57, 114
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,918,100,114,992, is 1.
Now, the common factors can be found like this.
659:659
918:2x 3x 3x 3x 17
100:2x 2x 5x 5
114:2x 3x 19
992:2x 2x 2x 2x 2x 31
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 3 = 48
Therefore, the value for common factors is 48.
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 = 6841394265600/(1x48)
LCM = 6841394265600/48
LCM = 142529047200
Thus, we can understand that the LCM of 659,918,100,114,992 is 142529047200.
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FAQs on LCM of 659, 918, 100, 114, 992
1. What is the LCM of 659, 918, 100, 114, 992?
Answer: LCM of 659, 918, 100, 114, 992 is 142529047200.
2. How to calculate the LCM of 659, 918, 100, 114, 992?
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, 918, 100, 114, 992.
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}.