LCM of 905, 728, 692, 893, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 728, 692, 893, 441 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 905, 728, 692, 893, 441. So, keep reading to learn more.
Given numbers are 905,728,692,893,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,728,692,893,441 is 6412362563880.
Find LCM of 905,728,692,893,441 with Prime Factorization
| 2 | 905, 728, 692, 893, 441 |
| 2 | 905, 364, 346, 893, 441 |
| 7 | 905, 182, 173, 893, 441 |
| 905, 26, 173, 893, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 905 x 26 x 173 x 893 x 63 = 6412362563880
Therefore, the lowest common multiple of 905,728,692,893,441 is 6412362563880.
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.
905 x 728 x 692 x 893 x 441 = 179546151788640
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.
905 : 1, 5, 181, 905
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
692 : 1, 2, 4, 173, 346, 692
893 : 1, 19, 47, 893
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,728,692,893,441, is 1.
Now, the common factors can be found like this.
905:5x 181
728:2x 2x 2x 7x 13
692:2x 2x 173
893:19x 47
441:3x 3x 7x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 179546151788640/(1x28)
LCM = 179546151788640/28
LCM = 6412362563880
Thus, we can understand that the LCM of 905,728,692,893,441 is 6412362563880.
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FAQs on LCM of 905, 728, 692, 893, 441
1. What is the LCM of 905, 728, 692, 893, 441?
Answer: LCM of 905, 728, 692, 893, 441 is 6412362563880.
2. How to calculate the LCM of 905, 728, 692, 893, 441?
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 905, 728, 692, 893, 441.
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}.