Find the LCM of 903, 559, 121, 689 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 903, 559, 121, 689. So, keep reading to learn more.
Given numbers are 903,559,121,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,559,121,689 is 75282207.
Find LCM of 903,559,121,689 with Prime Factorization
13 | 903, 559, 121, 689 |
43 | 903, 43, 121, 53 |
21, 1, 121, 53 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 21 x 1 x 121 x 53 = 75282207
Therefore, the lowest common multiple of 903,559,121,689 is 75282207.
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.
903 x 559 x 121 x 689 = 42082753713
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
559 : 1, 13, 43, 559
121 : 1, 11, 121
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,559,121,689, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
559:13x 43
121:11x 11
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 42082753713/(1x559)
LCM = 42082753713/559
LCM = 75282207
Thus, we can understand that the LCM of 903,559,121,689 is 75282207.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 903, 559, 121, 689?
Answer: LCM of 903, 559, 121, 689 is 75282207.
2. How to calculate the LCM of 903, 559, 121, 689?
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 903, 559, 121, 689.
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}.