LCM of 496, 528, 682, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 528, 682, 288 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, 528, 682, 288. So, keep reading to learn more.
Given numbers are 496,528,682,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,528,682,288 is 98208.
Find LCM of 496,528,682,288 with Prime Factorization
| 2 | 496, 528, 682, 288 |
| 2 | 248, 264, 341, 144 |
| 2 | 124, 132, 341, 72 |
| 2 | 62, 66, 341, 36 |
| 3 | 31, 33, 341, 18 |
| 11 | 31, 11, 341, 6 |
| 31 | 31, 1, 31, 6 |
| 1, 1, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 31 x 1 x 1 x 1 x 6 = 98208
Therefore, the lowest common multiple of 496,528,682,288 is 98208.
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 528 x 682 x 288 = 51438993408
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
682 : 1, 2, 11, 22, 31, 62, 341, 682
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,528,682,288, is 2.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
528:2x 2x 2x 2x 3x 11
682:2x 11x 31
288:2x 2x 2x 2x 2x 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 2x 3x 11x 31 = 261888
Therefore, the value for common factors is 261888.
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 = 51438993408/(2x261888)
LCM = 51438993408/523776
LCM = 98208
Thus, we can understand that the LCM of 496,528,682,288 is 98208.
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FAQs on LCM of 496, 528, 682, 288
1. What is the LCM of 496, 528, 682, 288?
Answer: LCM of 496, 528, 682, 288 is 98208.
2. How to calculate the LCM of 496, 528, 682, 288?
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, 528, 682, 288.
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}.