LCM of 681, 493, 616, 493, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 493, 616, 493, 976 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 681, 493, 616, 493, 976. So, keep reading to learn more.
Given numbers are 681,493,616,493,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,493,616,493,976 is 25231006416.
Find LCM of 681,493,616,493,976 with Prime Factorization
| 2 | 681, 493, 616, 493, 976 |
| 2 | 681, 493, 308, 493, 488 |
| 2 | 681, 493, 154, 493, 244 |
| 17 | 681, 493, 77, 493, 122 |
| 29 | 681, 29, 77, 29, 122 |
| 681, 1, 77, 1, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 29 x 681 x 1 x 77 x 1 x 122 = 25231006416
Therefore, the lowest common multiple of 681,493,616,493,976 is 25231006416.
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.
681 x 493 x 616 x 493 x 976 = 99511089304704
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.
681 : 1, 3, 227, 681
493 : 1, 17, 29, 493
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
493 : 1, 17, 29, 493
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,493,616,493,976, is 1.
Now, the common factors can be found like this.
681:3x 227
493:17x 29
616:2x 2x 2x 7x 11
493:17x 29
976:2x 2x 2x 2x 61
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 17x 29 = 3944
Therefore, the value for common factors is 3944.
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 = 99511089304704/(1x3944)
LCM = 99511089304704/3944
LCM = 25231006416
Thus, we can understand that the LCM of 681,493,616,493,976 is 25231006416.
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FAQs on LCM of 681, 493, 616, 493, 976
1. What is the LCM of 681, 493, 616, 493, 976?
Answer: LCM of 681, 493, 616, 493, 976 is 25231006416.
2. How to calculate the LCM of 681, 493, 616, 493, 976?
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 681, 493, 616, 493, 976.
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}.