Find the LCM of 543, 702, 666, 166, 849 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 543, 702, 666, 166, 849. So, keep reading to learn more.
Given numbers are 543,702,666,166,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,702,666,166,849 is 110428694766.
Find LCM of 543,702,666,166,849 with Prime Factorization
2 | 543, 702, 666, 166, 849 |
3 | 543, 351, 333, 83, 849 |
3 | 181, 117, 111, 83, 283 |
181, 39, 37, 83, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 181 x 39 x 37 x 83 x 283 = 110428694766
Therefore, the lowest common multiple of 543,702,666,166,849 is 110428694766.
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.
543 x 702 x 666 x 166 x 849 = 35778897104184
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.
543 : 1, 3, 181, 543
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
166 : 1, 2, 83, 166
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,702,666,166,849, is 1.
Now, the common factors can be found like this.
543:3x 181
702:2x 3x 3x 3x 13
666:2x 3x 3x 37
166:2x 83
849:3x 283
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 35778897104184/(1x324)
LCM = 35778897104184/324
LCM = 110428694766
Thus, we can understand that the LCM of 543,702,666,166,849 is 110428694766.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 702, 666, 166, 849?
Answer: LCM of 543, 702, 666, 166, 849 is 110428694766.
2. How to calculate the LCM of 543, 702, 666, 166, 849?
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 543, 702, 666, 166, 849.
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}.