LCM of 484, 341, 264, 748, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 341, 264, 748, 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 484, 341, 264, 748, 216. So, keep reading to learn more.
Given numbers are 484,341,264,748,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,341,264,748,216 is 13773672.
Find LCM of 484,341,264,748,216 with Prime Factorization
| 2 | 484, 341, 264, 748, 216 |
| 2 | 242, 341, 132, 374, 108 |
| 2 | 121, 341, 66, 187, 54 |
| 3 | 121, 341, 33, 187, 27 |
| 11 | 121, 341, 11, 187, 9 |
| 1, 31, 11, 17, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 1 x 31 x 11 x 17 x 9 = 13773672
Therefore, the lowest common multiple of 484,341,264,748,216 is 13773672.
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.
484 x 341 x 264 x 748 x 216 = 7039778853888
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
341 : 1, 11, 31, 341
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,341,264,748,216, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
341:11x 31
264:2x 2x 2x 3x 11
748:2x 2x 11x 17
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 2x 3x 11x 11x 11 = 511104
Therefore, the value for common factors is 511104.
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 = 7039778853888/(1x511104)
LCM = 7039778853888/511104
LCM = 13773672
Thus, we can understand that the LCM of 484,341,264,748,216 is 13773672.
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FAQs on LCM of 484, 341, 264, 748, 216
1. What is the LCM of 484, 341, 264, 748, 216?
Answer: LCM of 484, 341, 264, 748, 216 is 13773672.
2. How to calculate the LCM of 484, 341, 264, 748, 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 484, 341, 264, 748, 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}.