Find the LCM of 248, 180, 361, 361, 557 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 248, 180, 361, 361, 557. So, keep reading to learn more.
Given numbers are 248,180,361,361,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,180,361,361,557 is 2244019320.
Find LCM of 248,180,361,361,557 with Prime Factorization
2 | 248, 180, 361, 361, 557 |
2 | 124, 90, 361, 361, 557 |
19 | 62, 45, 361, 361, 557 |
19 | 62, 45, 19, 19, 557 |
62, 45, 1, 1, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 19 x 62 x 45 x 1 x 1 x 557 = 2244019320
Therefore, the lowest common multiple of 248,180,361,361,557 is 2244019320.
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.
248 x 180 x 361 x 361 x 557 = 3240363898080
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
361 : 1, 19, 361
361 : 1, 19, 361
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,180,361,361,557, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
180:2x 2x 3x 3x 5
361:19x 19
361:19x 19
557:557
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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 3240363898080/(1x1444)
LCM = 3240363898080/1444
LCM = 2244019320
Thus, we can understand that the LCM of 248,180,361,361,557 is 2244019320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 180, 361, 361, 557?
Answer: LCM of 248, 180, 361, 361, 557 is 2244019320.
2. How to calculate the LCM of 248, 180, 361, 361, 557?
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 248, 180, 361, 361, 557.
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}.