LCM of 903, 693, 138, 449, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 693, 138, 449, 915 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, 693, 138, 449, 915. So, keep reading to learn more.
Given numbers are 903,693,138,449,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,693,138,449,915 is 187717906530.
Find LCM of 903,693,138,449,915 with Prime Factorization
| 3 | 903, 693, 138, 449, 915 |
| 7 | 301, 231, 46, 449, 305 |
| 43, 33, 46, 449, 305 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 43 x 33 x 46 x 449 x 305 = 187717906530
Therefore, the lowest common multiple of 903,693,138,449,915 is 187717906530.
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 693 x 138 x 449 x 915 = 35478684334170
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
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
138 : 1, 2, 3, 6, 23, 46, 69, 138
449 : 1, 449
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,693,138,449,915, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
693:3x 3x 7x 11
138:2x 3x 23
449:449
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 35478684334170/(1x189)
LCM = 35478684334170/189
LCM = 187717906530
Thus, we can understand that the LCM of 903,693,138,449,915 is 187717906530.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 903, 693, 138, 449, 915
1. What is the LCM of 903, 693, 138, 449, 915?
Answer: LCM of 903, 693, 138, 449, 915 is 187717906530.
2. How to calculate the LCM of 903, 693, 138, 449, 915?
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, 693, 138, 449, 915.
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}.