LCM of 467, 198, 611, 486, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 198, 611, 486, 957 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 467, 198, 611, 486, 957. So, keep reading to learn more.
Given numbers are 467,198,611,486,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,198,611,486,957 is 44236936458.
Find LCM of 467,198,611,486,957 with Prime Factorization
| 2 | 467, 198, 611, 486, 957 |
| 3 | 467, 99, 611, 243, 957 |
| 3 | 467, 33, 611, 81, 319 |
| 11 | 467, 11, 611, 27, 319 |
| 467, 1, 611, 27, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 467 x 1 x 611 x 27 x 29 = 44236936458
Therefore, the lowest common multiple of 467,198,611,486,957 is 44236936458.
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.
467 x 198 x 611 x 486 x 957 = 26276740256052
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.
467 : 1, 467
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
611 : 1, 13, 47, 611
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,198,611,486,957, is 1.
Now, the common factors can be found like this.
467:467
198:2x 3x 3x 11
611:13x 47
486:2x 3x 3x 3x 3x 3
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 26276740256052/(1x594)
LCM = 26276740256052/594
LCM = 44236936458
Thus, we can understand that the LCM of 467,198,611,486,957 is 44236936458.
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FAQs on LCM of 467, 198, 611, 486, 957
1. What is the LCM of 467, 198, 611, 486, 957?
Answer: LCM of 467, 198, 611, 486, 957 is 44236936458.
2. How to calculate the LCM of 467, 198, 611, 486, 957?
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 467, 198, 611, 486, 957.
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}.