LCM of 222, 815, 685, 838, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 815, 685, 838, 669 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 222, 815, 685, 838, 669. So, keep reading to learn more.
Given numbers are 222,815,685,838,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,815,685,838,669 is 2316061228170.
Find LCM of 222,815,685,838,669 with Prime Factorization
| 2 | 222, 815, 685, 838, 669 |
| 3 | 111, 815, 685, 419, 669 |
| 5 | 37, 815, 685, 419, 223 |
| 37, 163, 137, 419, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 37 x 163 x 137 x 419 x 223 = 2316061228170
Therefore, the lowest common multiple of 222,815,685,838,669 is 2316061228170.
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.
222 x 815 x 685 x 838 x 669 = 69481836845100
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
815 : 1, 5, 163, 815
685 : 1, 5, 137, 685
838 : 1, 2, 419, 838
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,815,685,838,669, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
815:5x 163
685:5x 137
838:2x 419
669:3x 223
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 5 = 30
Therefore, the value for common factors is 30.
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 = 69481836845100/(1x30)
LCM = 69481836845100/30
LCM = 2316061228170
Thus, we can understand that the LCM of 222,815,685,838,669 is 2316061228170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 222, 815, 685, 838, 669
1. What is the LCM of 222, 815, 685, 838, 669?
Answer: LCM of 222, 815, 685, 838, 669 is 2316061228170.
2. How to calculate the LCM of 222, 815, 685, 838, 669?
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 222, 815, 685, 838, 669.
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}.