Find the LCM of 509, 543, 242, 144, 167 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 509, 543, 242, 144, 167. So, keep reading to learn more.
Given numbers are 509,543,242,144,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,543,242,144,167 is 268077701232.
Find LCM of 509,543,242,144,167 with Prime Factorization
2 | 509, 543, 242, 144, 167 |
3 | 509, 543, 121, 72, 167 |
509, 181, 121, 24, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 509 x 181 x 121 x 24 x 167 = 268077701232
Therefore, the lowest common multiple of 509,543,242,144,167 is 268077701232.
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.
509 x 543 x 242 x 144 x 167 = 1608466207392
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.
509 : 1, 509
543 : 1, 3, 181, 543
242 : 1, 2, 11, 22, 121, 242
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,543,242,144,167, is 1.
Now, the common factors can be found like this.
509:509
543:3x 181
242:2x 11x 11
144:2x 2x 2x 2x 3x 3
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 1608466207392/(1x6)
LCM = 1608466207392/6
LCM = 268077701232
Thus, we can understand that the LCM of 509,543,242,144,167 is 268077701232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 543, 242, 144, 167?
Answer: LCM of 509, 543, 242, 144, 167 is 268077701232.
2. How to calculate the LCM of 509, 543, 242, 144, 167?
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 509, 543, 242, 144, 167.
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}.