LCM of 561, 815, 419, 675, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 815, 419, 675, 661 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 561, 815, 419, 675, 661. So, keep reading to learn more.
Given numbers are 561,815,419,675,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,815,419,675,661 is 5698341413325.
Find LCM of 561,815,419,675,661 with Prime Factorization
| 3 | 561, 815, 419, 675, 661 |
| 5 | 187, 815, 419, 225, 661 |
| 187, 163, 419, 45, 661 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 187 x 163 x 419 x 45 x 661 = 5698341413325
Therefore, the lowest common multiple of 561,815,419,675,661 is 5698341413325.
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.
561 x 815 x 419 x 675 x 661 = 85475121199875
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
815 : 1, 5, 163, 815
419 : 1, 419
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,815,419,675,661, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
815:5x 163
419:419
675:3x 3x 3x 5x 5
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 85475121199875/(1x15)
LCM = 85475121199875/15
LCM = 5698341413325
Thus, we can understand that the LCM of 561,815,419,675,661 is 5698341413325.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 815, 419, 675, 661
1. What is the LCM of 561, 815, 419, 675, 661?
Answer: LCM of 561, 815, 419, 675, 661 is 5698341413325.
2. How to calculate the LCM of 561, 815, 419, 675, 661?
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 561, 815, 419, 675, 661.
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}.