LCM of 984, 986, 348, 934, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 986, 348, 934, 216 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 984, 986, 348, 934, 216. So, keep reading to learn more.
Given numbers are 984,986,348,934,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,986,348,934,216 is 2038925736.
Find LCM of 984,986,348,934,216 with Prime Factorization
| 2 | 984, 986, 348, 934, 216 |
| 2 | 492, 493, 174, 467, 108 |
| 2 | 246, 493, 87, 467, 54 |
| 3 | 123, 493, 87, 467, 27 |
| 29 | 41, 493, 29, 467, 9 |
| 41, 17, 1, 467, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 41 x 17 x 1 x 467 x 9 = 2038925736
Therefore, the lowest common multiple of 984,986,348,934,216 is 2038925736.
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.
984 x 986 x 348 x 934 x 216 = 68116430988288
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
986 : 1, 2, 17, 29, 34, 58, 493, 986
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
934 : 1, 2, 467, 934
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,986,348,934,216, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
986:2x 17x 29
348:2x 2x 3x 29
934:2x 467
216:2x 2x 2x 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 2x 2x 3x 3x 29 = 16704
Therefore, the value for common factors is 16704.
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 = 68116430988288/(2x16704)
LCM = 68116430988288/33408
LCM = 2038925736
Thus, we can understand that the LCM of 984,986,348,934,216 is 2038925736.
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FAQs on LCM of 984, 986, 348, 934, 216
1. What is the LCM of 984, 986, 348, 934, 216?
Answer: LCM of 984, 986, 348, 934, 216 is 2038925736.
2. How to calculate the LCM of 984, 986, 348, 934, 216?
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 984, 986, 348, 934, 216.
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}.