LCM of 890, 660, 628, 413, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 660, 628, 413, 682 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 890, 660, 628, 413, 682. So, keep reading to learn more.
Given numbers are 890,660,628,413,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,660,628,413,682 is 118071570540.
Find LCM of 890,660,628,413,682 with Prime Factorization
| 2 | 890, 660, 628, 413, 682 |
| 2 | 445, 330, 314, 413, 341 |
| 5 | 445, 165, 157, 413, 341 |
| 11 | 89, 33, 157, 413, 341 |
| 89, 3, 157, 413, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 89 x 3 x 157 x 413 x 31 = 118071570540
Therefore, the lowest common multiple of 890,660,628,413,682 is 118071570540.
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.
890 x 660 x 628 x 413 x 682 = 103902982075200
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
628 : 1, 2, 4, 157, 314, 628
413 : 1, 7, 59, 413
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,660,628,413,682, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
660:2x 2x 3x 5x 11
628:2x 2x 157
413:7x 59
682:2x 11x 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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 103902982075200/(1x880)
LCM = 103902982075200/880
LCM = 118071570540
Thus, we can understand that the LCM of 890,660,628,413,682 is 118071570540.
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FAQs on LCM of 890, 660, 628, 413, 682
1. What is the LCM of 890, 660, 628, 413, 682?
Answer: LCM of 890, 660, 628, 413, 682 is 118071570540.
2. How to calculate the LCM of 890, 660, 628, 413, 682?
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 890, 660, 628, 413, 682.
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}.