LCM of 104, 609, 665, 419, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 609, 665, 419, 783 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 104, 609, 665, 419, 783. So, keep reading to learn more.
Given numbers are 104,609,665,419,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,609,665,419,783 is 22689805320.
Find LCM of 104,609,665,419,783 with Prime Factorization
| 3 | 104, 609, 665, 419, 783 |
| 7 | 104, 203, 665, 419, 261 |
| 29 | 104, 29, 95, 419, 261 |
| 104, 1, 95, 419, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 29 x 104 x 1 x 95 x 419 x 9 = 22689805320
Therefore, the lowest common multiple of 104,609,665,419,783 is 22689805320.
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.
104 x 609 x 665 x 419 x 783 = 13818091439880
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
609 : 1, 3, 7, 21, 29, 87, 203, 609
665 : 1, 5, 7, 19, 35, 95, 133, 665
419 : 1, 419
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,609,665,419,783, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
609:3x 7x 29
665:5x 7x 19
419:419
783:3x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 29 = 609
Therefore, the value for common factors is 609.
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 = 13818091439880/(1x609)
LCM = 13818091439880/609
LCM = 22689805320
Thus, we can understand that the LCM of 104,609,665,419,783 is 22689805320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 104, 609, 665, 419, 783
1. What is the LCM of 104, 609, 665, 419, 783?
Answer: LCM of 104, 609, 665, 419, 783 is 22689805320.
2. How to calculate the LCM of 104, 609, 665, 419, 783?
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 104, 609, 665, 419, 783.
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}.