Find the LCM of 948, 525, 202, 522, 415 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 948, 525, 202, 522, 415. So, keep reading to learn more.
Given numbers are 948,525,202,522,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,525,202,522,415 is 120994353900.
Find LCM of 948,525,202,522,415 with Prime Factorization
2 | 948, 525, 202, 522, 415 |
3 | 474, 525, 101, 261, 415 |
5 | 158, 175, 101, 87, 415 |
158, 35, 101, 87, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 158 x 35 x 101 x 87 x 83 = 120994353900
Therefore, the lowest common multiple of 948,525,202,522,415 is 120994353900.
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.
948 x 525 x 202 x 522 x 415 = 21778983702000
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
202 : 1, 2, 101, 202
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,525,202,522,415, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
525:3x 5x 5x 7
202:2x 101
522:2x 3x 3x 29
415:5x 83
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 5 = 180
Therefore, the value for common factors is 180.
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 = 21778983702000/(1x180)
LCM = 21778983702000/180
LCM = 120994353900
Thus, we can understand that the LCM of 948,525,202,522,415 is 120994353900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 948, 525, 202, 522, 415?
Answer: LCM of 948, 525, 202, 522, 415 is 120994353900.
2. How to calculate the LCM of 948, 525, 202, 522, 415?
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 948, 525, 202, 522, 415.
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}.