LCM of 992, 659, 718, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 659, 718, 659 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 992, 659, 718, 659. So, keep reading to learn more.
Given numbers are 992,659,718,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,659,718,659 is 234688352.
Find LCM of 992,659,718,659 with Prime Factorization
| 2 | 992, 659, 718, 659 |
| 659 | 496, 659, 359, 659 |
| 496, 1, 359, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 659 x 496 x 1 x 359 x 1 = 234688352
Therefore, the lowest common multiple of 992,659,718,659 is 234688352.
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.
992 x 659 x 718 x 659 = 309319247936
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
659 : 1, 659
718 : 1, 2, 359, 718
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,659,718,659, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
659:659
718:2x 359
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 659 = 1318
Therefore, the value for common factors is 1318.
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 = 309319247936/(1x1318)
LCM = 309319247936/1318
LCM = 234688352
Thus, we can understand that the LCM of 992,659,718,659 is 234688352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 992, 659, 718, 659
1. What is the LCM of 992, 659, 718, 659?
Answer: LCM of 992, 659, 718, 659 is 234688352.
2. How to calculate the LCM of 992, 659, 718, 659?
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 992, 659, 718, 659.
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}.