LCM of 561, 205, 906, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 205, 906, 574 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, 205, 906, 574. So, keep reading to learn more.
Given numbers are 561,205,906,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,205,906,574 is 243120570.
Find LCM of 561,205,906,574 with Prime Factorization
| 2 | 561, 205, 906, 574 |
| 3 | 561, 205, 453, 287 |
| 41 | 187, 205, 151, 287 |
| 187, 5, 151, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 187 x 5 x 151 x 7 = 243120570
Therefore, the lowest common multiple of 561,205,906,574 is 243120570.
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 205 x 906 x 574 = 59807660220
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
205 : 1, 5, 41, 205
906 : 1, 2, 3, 6, 151, 302, 453, 906
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,205,906,574, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
205:5x 41
906:2x 3x 151
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 41 = 246
Therefore, the value for common factors is 246.
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 = 59807660220/(1x246)
LCM = 59807660220/246
LCM = 243120570
Thus, we can understand that the LCM of 561,205,906,574 is 243120570.
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FAQs on LCM of 561, 205, 906, 574
1. What is the LCM of 561, 205, 906, 574?
Answer: LCM of 561, 205, 906, 574 is 243120570.
2. How to calculate the LCM of 561, 205, 906, 574?
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, 205, 906, 574.
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}.