Find the LCM of 824, 958, 124, 486, 172 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 824, 958, 124, 486, 172. So, keep reading to learn more.
Given numbers are 824,958,124,486,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,958,124,486,172 is 127849533624.
Find LCM of 824,958,124,486,172 with Prime Factorization
2 | 824, 958, 124, 486, 172 |
2 | 412, 479, 62, 243, 86 |
206, 479, 31, 243, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 206 x 479 x 31 x 243 x 43 = 127849533624
Therefore, the lowest common multiple of 824,958,124,486,172 is 127849533624.
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.
824 x 958 x 124 x 486 x 172 = 8182370151936
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
958 : 1, 2, 479, 958
124 : 1, 2, 4, 31, 62, 124
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
172 : 1, 2, 4, 43, 86, 172
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,958,124,486,172, is 2.
Now, the common factors can be found like this.
824:2x 2x 2x 103
958:2x 479
124:2x 2x 31
486:2x 3x 3x 3x 3x 3
172:2x 2x 43
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 2 = 32
Therefore, the value for common factors is 32.
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 = 8182370151936/(2x32)
LCM = 8182370151936/64
LCM = 127849533624
Thus, we can understand that the LCM of 824,958,124,486,172 is 127849533624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 958, 124, 486, 172?
Answer: LCM of 824, 958, 124, 486, 172 is 127849533624.
2. How to calculate the LCM of 824, 958, 124, 486, 172?
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 824, 958, 124, 486, 172.
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}.