LCM of 496, 515, 756, 614, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 515, 756, 614, 228 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 496, 515, 756, 614, 228. So, keep reading to learn more.
Given numbers are 496,515,756,614,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,515,756,614,228 is 281606507280.
Find LCM of 496,515,756,614,228 with Prime Factorization
| 2 | 496, 515, 756, 614, 228 |
| 2 | 248, 515, 378, 307, 114 |
| 3 | 124, 515, 189, 307, 57 |
| 124, 515, 63, 307, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 124 x 515 x 63 x 307 x 19 = 281606507280
Therefore, the lowest common multiple of 496,515,756,614,228 is 281606507280.
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.
496 x 515 x 756 x 614 x 228 = 27034224698880
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
515 : 1, 5, 103, 515
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
614 : 1, 2, 307, 614
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,515,756,614,228, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
515:5x 103
756:2x 2x 3x 3x 3x 7
614:2x 307
228:2x 2x 3x 19
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 3 = 96
Therefore, the value for common factors is 96.
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 = 27034224698880/(1x96)
LCM = 27034224698880/96
LCM = 281606507280
Thus, we can understand that the LCM of 496,515,756,614,228 is 281606507280.
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FAQs on LCM of 496, 515, 756, 614, 228
1. What is the LCM of 496, 515, 756, 614, 228?
Answer: LCM of 496, 515, 756, 614, 228 is 281606507280.
2. How to calculate the LCM of 496, 515, 756, 614, 228?
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 496, 515, 756, 614, 228.
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}.