Find the LCM of 202, 504, 104, 206, 546 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 202, 504, 104, 206, 546. So, keep reading to learn more.
Given numbers are 202,504,104,206,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,504,104,206,546 is 68160456.
Find LCM of 202,504,104,206,546 with Prime Factorization
2 | 202, 504, 104, 206, 546 |
2 | 101, 252, 52, 103, 273 |
2 | 101, 126, 26, 103, 273 |
3 | 101, 63, 13, 103, 273 |
7 | 101, 21, 13, 103, 91 |
13 | 101, 3, 13, 103, 13 |
101, 3, 1, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 101 x 3 x 1 x 103 x 1 = 68160456
Therefore, the lowest common multiple of 202,504,104,206,546 is 68160456.
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.
202 x 504 x 104 x 206 x 546 = 1190899487232
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.
202 : 1, 2, 101, 202
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
104 : 1, 2, 4, 8, 13, 26, 52, 104
206 : 1, 2, 103, 206
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,504,104,206,546, is 2.
Now, the common factors can be found like this.
202:2x 101
504:2x 2x 2x 3x 3x 7
104:2x 2x 2x 13
206:2x 103
546:2x 3x 7x 13
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 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 1190899487232/(2x8736)
LCM = 1190899487232/17472
LCM = 68160456
Thus, we can understand that the LCM of 202,504,104,206,546 is 68160456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 202, 504, 104, 206, 546?
Answer: LCM of 202, 504, 104, 206, 546 is 68160456.
2. How to calculate the LCM of 202, 504, 104, 206, 546?
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 202, 504, 104, 206, 546.
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}.