LCM of 116, 176, 328, 341, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 176, 328, 341, 984 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 116, 176, 328, 341, 984. So, keep reading to learn more.
Given numbers are 116,176,328,341,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,176,328,341,984 is 19461552.
Find LCM of 116,176,328,341,984 with Prime Factorization
| 2 | 116, 176, 328, 341, 984 |
| 2 | 58, 88, 164, 341, 492 |
| 2 | 29, 44, 82, 341, 246 |
| 11 | 29, 22, 41, 341, 123 |
| 41 | 29, 2, 41, 31, 123 |
| 29, 2, 1, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 41 x 29 x 2 x 1 x 31 x 3 = 19461552
Therefore, the lowest common multiple of 116,176,328,341,984 is 19461552.
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.
116 x 176 x 328 x 341 x 984 = 2246952947712
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.
116 : 1, 2, 4, 29, 58, 116
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
328 : 1, 2, 4, 8, 41, 82, 164, 328
341 : 1, 11, 31, 341
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,176,328,341,984, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
176:2x 2x 2x 2x 11
328:2x 2x 2x 41
341:11x 31
984:2x 2x 2x 3x 41
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 2x 2x 2x 2x 11x 41 = 115456
Therefore, the value for common factors is 115456.
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 = 2246952947712/(1x115456)
LCM = 2246952947712/115456
LCM = 19461552
Thus, we can understand that the LCM of 116,176,328,341,984 is 19461552.
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FAQs on LCM of 116, 176, 328, 341, 984
1. What is the LCM of 116, 176, 328, 341, 984?
Answer: LCM of 116, 176, 328, 341, 984 is 19461552.
2. How to calculate the LCM of 116, 176, 328, 341, 984?
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 116, 176, 328, 341, 984.
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}.