LCM of 496, 682, 924, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 682, 924, 496 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, 682, 924, 496. So, keep reading to learn more.
Given numbers are 496,682,924,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,682,924,496 is 114576.
Find LCM of 496,682,924,496 with Prime Factorization
| 2 | 496, 682, 924, 496 |
| 2 | 248, 341, 462, 248 |
| 2 | 124, 341, 231, 124 |
| 2 | 62, 341, 231, 62 |
| 11 | 31, 341, 231, 31 |
| 31 | 31, 31, 21, 31 |
| 1, 1, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 31 x 1 x 1 x 21 x 1 = 114576
Therefore, the lowest common multiple of 496,682,924,496 is 114576.
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 682 x 924 x 496 = 155031410688
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,682,924,496, is 2.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
682:2x 11x 31
924:2x 2x 3x 7x 11
496:2x 2x 2x 2x 31
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 11x 31x 31 = 676544
Therefore, the value for common factors is 676544.
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 = 155031410688/(2x676544)
LCM = 155031410688/1353088
LCM = 114576
Thus, we can understand that the LCM of 496,682,924,496 is 114576.
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FAQs on LCM of 496, 682, 924, 496
1. What is the LCM of 496, 682, 924, 496?
Answer: LCM of 496, 682, 924, 496 is 114576.
2. How to calculate the LCM of 496, 682, 924, 496?
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, 682, 924, 496.
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}.