LCM of 586, 330, 796, 748, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 330, 796, 748, 498 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 586, 330, 796, 748, 498. So, keep reading to learn more.
Given numbers are 586,330,796,748,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,330,796,748,498 is 54298976820.
Find LCM of 586,330,796,748,498 with Prime Factorization
| 2 | 586, 330, 796, 748, 498 |
| 2 | 293, 165, 398, 374, 249 |
| 3 | 293, 165, 199, 187, 249 |
| 11 | 293, 55, 199, 187, 83 |
| 293, 5, 199, 17, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 293 x 5 x 199 x 17 x 83 = 54298976820
Therefore, the lowest common multiple of 586,330,796,748,498 is 54298976820.
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.
586 x 330 x 796 x 748 x 498 = 57339719521920
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.
586 : 1, 2, 293, 586
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
796 : 1, 2, 4, 199, 398, 796
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
498 : 1, 2, 3, 6, 83, 166, 249, 498
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,330,796,748,498, is 2.
Now, the common factors can be found like this.
586:2x 293
330:2x 3x 5x 11
796:2x 2x 199
748:2x 2x 11x 17
498:2x 3x 83
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 57339719521920/(2x528)
LCM = 57339719521920/1056
LCM = 54298976820
Thus, we can understand that the LCM of 586,330,796,748,498 is 54298976820.
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FAQs on LCM of 586, 330, 796, 748, 498
1. What is the LCM of 586, 330, 796, 748, 498?
Answer: LCM of 586, 330, 796, 748, 498 is 54298976820.
2. How to calculate the LCM of 586, 330, 796, 748, 498?
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 586, 330, 796, 748, 498.
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}.