LCM of 617, 682, 280, 998, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 682, 280, 998, 748 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 617, 682, 280, 998, 748. So, keep reading to learn more.
Given numbers are 617,682,280,998,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,682,280,998,748 is 499743370280.
Find LCM of 617,682,280,998,748 with Prime Factorization
| 2 | 617, 682, 280, 998, 748 |
| 2 | 617, 341, 140, 499, 374 |
| 11 | 617, 341, 70, 499, 187 |
| 617, 31, 70, 499, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 617 x 31 x 70 x 499 x 17 = 499743370280
Therefore, the lowest common multiple of 617,682,280,998,748 is 499743370280.
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.
617 x 682 x 280 x 998 x 748 = 87954833169280
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.
617 : 1, 617
682 : 1, 2, 11, 22, 31, 62, 341, 682
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
998 : 1, 2, 499, 998
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,682,280,998,748, is 1.
Now, the common factors can be found like this.
617:617
682:2x 11x 31
280:2x 2x 2x 5x 7
998:2x 499
748:2x 2x 11x 17
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 11 = 176
Therefore, the value for common factors is 176.
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 = 87954833169280/(1x176)
LCM = 87954833169280/176
LCM = 499743370280
Thus, we can understand that the LCM of 617,682,280,998,748 is 499743370280.
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FAQs on LCM of 617, 682, 280, 998, 748
1. What is the LCM of 617, 682, 280, 998, 748?
Answer: LCM of 617, 682, 280, 998, 748 is 499743370280.
2. How to calculate the LCM of 617, 682, 280, 998, 748?
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 617, 682, 280, 998, 748.
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}.