LCM of 866, 866, 550, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 866, 550, 909 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 866, 866, 550, 909. So, keep reading to learn more.
Given numbers are 866,866,550,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,866,550,909 is 216478350.
Find LCM of 866,866,550,909 with Prime Factorization
| 2 | 866, 866, 550, 909 |
| 433 | 433, 433, 275, 909 |
| 1, 1, 275, 909 |
Multiply the prime numbers at the bottom and the left side.
2 x 433 x 1 x 1 x 275 x 909 = 216478350
Therefore, the lowest common multiple of 866,866,550,909 is 216478350.
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.
866 x 866 x 550 x 909 = 374940502200
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.
866 : 1, 2, 433, 866
866 : 1, 2, 433, 866
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,866,550,909, is 1.
Now, the common factors can be found like this.
866:2x 433
866:2x 433
550:2x 5x 5x 11
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 433 = 1732
Therefore, the value for common factors is 1732.
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 = 374940502200/(1x1732)
LCM = 374940502200/1732
LCM = 216478350
Thus, we can understand that the LCM of 866,866,550,909 is 216478350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 866, 866, 550, 909
1. What is the LCM of 866, 866, 550, 909?
Answer: LCM of 866, 866, 550, 909 is 216478350.
2. How to calculate the LCM of 866, 866, 550, 909?
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 866, 866, 550, 909.
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}.