LCM of 561, 666, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 666, 766 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, 666, 766. So, keep reading to learn more.
Given numbers are 561,666,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,666,766 is 47699586.
Find LCM of 561,666,766 with Prime Factorization
| 2 | 561, 666, 766 |
| 3 | 561, 333, 383 |
| 187, 111, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 111 x 383 = 47699586
Therefore, the lowest common multiple of 561,666,766 is 47699586.
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 666 x 766 = 286197516
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
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,666,766, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
666:2x 3x 3x 37
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 286197516/(1x6)
LCM = 286197516/6
LCM = 47699586
Thus, we can understand that the LCM of 561,666,766 is 47699586.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 666, 766
1. What is the LCM of 561, 666, 766?
Answer: LCM of 561, 666, 766 is 47699586.
2. How to calculate the LCM of 561, 666, 766?
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, 666, 766.
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}.