LCM of 992, 196, 442, 398, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 196, 442, 398, 178 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, 196, 442, 398, 178. So, keep reading to learn more.
Given numbers are 992,196,442,398,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,196,442,398,178 is 190258079648.
Find LCM of 992,196,442,398,178 with Prime Factorization
| 2 | 992, 196, 442, 398, 178 |
| 2 | 496, 98, 221, 199, 89 |
| 248, 49, 221, 199, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 248 x 49 x 221 x 199 x 89 = 190258079648
Therefore, the lowest common multiple of 992,196,442,398,178 is 190258079648.
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 196 x 442 x 398 x 178 = 6088258548736
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
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
442 : 1, 2, 13, 17, 26, 34, 221, 442
398 : 1, 2, 199, 398
178 : 1, 2, 89, 178
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,196,442,398,178, is 2.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
196:2x 2x 7x 7
442:2x 13x 17
398:2x 199
178:2x 89
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 2 = 16
Therefore, the value for common factors is 16.
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 = 6088258548736/(2x16)
LCM = 6088258548736/32
LCM = 190258079648
Thus, we can understand that the LCM of 992,196,442,398,178 is 190258079648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 992, 196, 442, 398, 178
1. What is the LCM of 992, 196, 442, 398, 178?
Answer: LCM of 992, 196, 442, 398, 178 is 190258079648.
2. How to calculate the LCM of 992, 196, 442, 398, 178?
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, 196, 442, 398, 178.
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}.