Find the LCM of 891, 161, 354, 232, 729 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 891, 161, 354, 232, 729. So, keep reading to learn more.
Given numbers are 891,161,354,232,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,161,354,232,729 is 17672015592.
Find LCM of 891,161,354,232,729 with Prime Factorization
2 | 891, 161, 354, 232, 729 |
3 | 891, 161, 177, 116, 729 |
3 | 297, 161, 59, 116, 243 |
3 | 99, 161, 59, 116, 81 |
3 | 33, 161, 59, 116, 27 |
11, 161, 59, 116, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 11 x 161 x 59 x 116 x 9 = 17672015592
Therefore, the lowest common multiple of 891,161,354,232,729 is 17672015592.
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.
891 x 161 x 354 x 232 x 729 = 8588599577712
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
161 : 1, 7, 23, 161
354 : 1, 2, 3, 6, 59, 118, 177, 354
232 : 1, 2, 4, 8, 29, 58, 116, 232
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,161,354,232,729, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
161:7x 23
354:2x 3x 59
232:2x 2x 2x 29
729:3x 3x 3x 3x 3x 3
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 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 8588599577712/(1x486)
LCM = 8588599577712/486
LCM = 17672015592
Thus, we can understand that the LCM of 891,161,354,232,729 is 17672015592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 161, 354, 232, 729?
Answer: LCM of 891, 161, 354, 232, 729 is 17672015592.
2. How to calculate the LCM of 891, 161, 354, 232, 729?
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 891, 161, 354, 232, 729.
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}.