LCM of 884, 916, 666, 222, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 916, 666, 222, 755 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 884, 916, 666, 222, 755. So, keep reading to learn more.
Given numbers are 884,916,666,222,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,916,666,222,755 is 50895446940.
Find LCM of 884,916,666,222,755 with Prime Factorization
| 2 | 884, 916, 666, 222, 755 |
| 2 | 442, 458, 333, 111, 755 |
| 3 | 221, 229, 333, 111, 755 |
| 37 | 221, 229, 37, 111, 755 |
| 221, 229, 1, 3, 755 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 221 x 229 x 1 x 3 x 755 = 50895446940
Therefore, the lowest common multiple of 884,916,666,222,755 is 50895446940.
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.
884 x 916 x 666 x 222 x 755 = 90390313765440
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
916 : 1, 2, 4, 229, 458, 916
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
222 : 1, 2, 3, 6, 37, 74, 111, 222
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,916,666,222,755, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
916:2x 2x 229
666:2x 3x 3x 37
222:2x 3x 37
755:5x 151
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 2x 2x 3x 37 = 1776
Therefore, the value for common factors is 1776.
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 = 90390313765440/(1x1776)
LCM = 90390313765440/1776
LCM = 50895446940
Thus, we can understand that the LCM of 884,916,666,222,755 is 50895446940.
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FAQs on LCM of 884, 916, 666, 222, 755
1. What is the LCM of 884, 916, 666, 222, 755?
Answer: LCM of 884, 916, 666, 222, 755 is 50895446940.
2. How to calculate the LCM of 884, 916, 666, 222, 755?
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 884, 916, 666, 222, 755.
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}.