LCM of 904, 611, 560, 271, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 611, 560, 271, 282 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 904, 611, 560, 271, 282. So, keep reading to learn more.
Given numbers are 904,611,560,271,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,611,560,271,282 is 31433897040.
Find LCM of 904,611,560,271,282 with Prime Factorization
| 2 | 904, 611, 560, 271, 282 |
| 2 | 452, 611, 280, 271, 141 |
| 2 | 226, 611, 140, 271, 141 |
| 47 | 113, 611, 70, 271, 141 |
| 113, 13, 70, 271, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 47 x 113 x 13 x 70 x 271 x 3 = 31433897040
Therefore, the lowest common multiple of 904,611,560,271,282 is 31433897040.
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.
904 x 611 x 560 x 271 x 282 = 23638290574080
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
611 : 1, 13, 47, 611
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
271 : 1, 271
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,611,560,271,282, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
611:13x 47
560:2x 2x 2x 2x 5x 7
271:271
282:2x 3x 47
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 47 = 752
Therefore, the value for common factors is 752.
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 = 23638290574080/(1x752)
LCM = 23638290574080/752
LCM = 31433897040
Thus, we can understand that the LCM of 904,611,560,271,282 is 31433897040.
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FAQs on LCM of 904, 611, 560, 271, 282
1. What is the LCM of 904, 611, 560, 271, 282?
Answer: LCM of 904, 611, 560, 271, 282 is 31433897040.
2. How to calculate the LCM of 904, 611, 560, 271, 282?
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 904, 611, 560, 271, 282.
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}.