Find the LCM of 459, 167, 493, 827 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 459, 167, 493, 827. So, keep reading to learn more.
Given numbers are 459,167,493,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,167,493,827 is 1838368899.
Find LCM of 459,167,493,827 with Prime Factorization
17 | 459, 167, 493, 827 |
27, 167, 29, 827 |
Multiply the prime numbers at the bottom and the left side.
17 x 27 x 167 x 29 x 827 = 1838368899
Therefore, the lowest common multiple of 459,167,493,827 is 1838368899.
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.
459 x 167 x 493 x 827 = 31252271283
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
167 : 1, 167
493 : 1, 17, 29, 493
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,167,493,827, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
167:167
493:17x 29
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 31252271283/(1x17)
LCM = 31252271283/17
LCM = 1838368899
Thus, we can understand that the LCM of 459,167,493,827 is 1838368899.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 167, 493, 827?
Answer: LCM of 459, 167, 493, 827 is 1838368899.
2. How to calculate the LCM of 459, 167, 493, 827?
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 459, 167, 493, 827.
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}.