LCM of 573, 990, 447, 940, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 990, 447, 940, 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 573, 990, 447, 940, 682. So, keep reading to learn more.
Given numbers are 573,990,447,940,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,990,447,940,682 is 82100230740.
Find LCM of 573,990,447,940,682 with Prime Factorization
| 2 | 573, 990, 447, 940, 682 |
| 3 | 573, 495, 447, 470, 341 |
| 5 | 191, 165, 149, 470, 341 |
| 11 | 191, 33, 149, 94, 341 |
| 191, 3, 149, 94, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 191 x 3 x 149 x 94 x 31 = 82100230740
Therefore, the lowest common multiple of 573,990,447,940,682 is 82100230740.
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.
573 x 990 x 447 x 940 x 682 = 162558456865200
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.
573 : 1, 3, 191, 573
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
447 : 1, 3, 149, 447
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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 573,990,447,940,682, is 1.
Now, the common factors can be found like this.
573:3x 191
990:2x 3x 3x 5x 11
447:3x 149
940:2x 2x 5x 47
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 3x 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 162558456865200/(1x1980)
LCM = 162558456865200/1980
LCM = 82100230740
Thus, we can understand that the LCM of 573,990,447,940,682 is 82100230740.
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FAQs on LCM of 573, 990, 447, 940, 682
1. What is the LCM of 573, 990, 447, 940, 682?
Answer: LCM of 573, 990, 447, 940, 682 is 82100230740.
2. How to calculate the LCM of 573, 990, 447, 940, 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 573, 990, 447, 940, 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}.