Find the LCM of 424, 167, 933, 672, 892 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 424, 167, 933, 672, 892. So, keep reading to learn more.
Given numbers are 424,167,933,672,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,167,933,672,892 is 412502766816.
Find LCM of 424,167,933,672,892 with Prime Factorization
2 | 424, 167, 933, 672, 892 |
2 | 212, 167, 933, 336, 446 |
2 | 106, 167, 933, 168, 223 |
3 | 53, 167, 933, 84, 223 |
53, 167, 311, 28, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 53 x 167 x 311 x 28 x 223 = 412502766816
Therefore, the lowest common multiple of 424,167,933,672,892 is 412502766816.
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.
424 x 167 x 933 x 672 x 892 = 39600265614336
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
167 : 1, 167
933 : 1, 3, 311, 933
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,167,933,672,892, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
167:167
933:3x 311
672:2x 2x 2x 2x 2x 3x 7
892:2x 2x 223
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 39600265614336/(1x96)
LCM = 39600265614336/96
LCM = 412502766816
Thus, we can understand that the LCM of 424,167,933,672,892 is 412502766816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 424, 167, 933, 672, 892?
Answer: LCM of 424, 167, 933, 672, 892 is 412502766816.
2. How to calculate the LCM of 424, 167, 933, 672, 892?
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 424, 167, 933, 672, 892.
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}.