LCM of 223, 682, 363, 165, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 682, 363, 165, 123 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 223, 682, 363, 165, 123. So, keep reading to learn more.
Given numbers are 223,682,363,165,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,682,363,165,123 is 1028861790.
Find LCM of 223,682,363,165,123 with Prime Factorization
| 3 | 223, 682, 363, 165, 123 |
| 11 | 223, 682, 121, 55, 41 |
| 223, 62, 11, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 223 x 62 x 11 x 5 x 41 = 1028861790
Therefore, the lowest common multiple of 223,682,363,165,123 is 1028861790.
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.
223 x 682 x 363 x 165 x 123 = 1120430489310
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.
223 : 1, 223
682 : 1, 2, 11, 22, 31, 62, 341, 682
363 : 1, 3, 11, 33, 121, 363
165 : 1, 3, 5, 11, 15, 33, 55, 165
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,682,363,165,123, is 1.
Now, the common factors can be found like this.
223:223
682:2x 11x 31
363:3x 11x 11
165:3x 5x 11
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 1120430489310/(1x1089)
LCM = 1120430489310/1089
LCM = 1028861790
Thus, we can understand that the LCM of 223,682,363,165,123 is 1028861790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 682, 363, 165, 123
1. What is the LCM of 223, 682, 363, 165, 123?
Answer: LCM of 223, 682, 363, 165, 123 is 1028861790.
2. How to calculate the LCM of 223, 682, 363, 165, 123?
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 223, 682, 363, 165, 123.
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}.