LCM of 644, 273, 745, 169, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 273, 745, 169, 243 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 644, 273, 745, 169, 243. So, keep reading to learn more.
Given numbers are 644,273,745,169,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,273,745,169,243 is 19703125260.
Find LCM of 644,273,745,169,243 with Prime Factorization
| 3 | 644, 273, 745, 169, 243 |
| 7 | 644, 91, 745, 169, 81 |
| 13 | 92, 13, 745, 169, 81 |
| 92, 1, 745, 13, 81 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 92 x 1 x 745 x 13 x 81 = 19703125260
Therefore, the lowest common multiple of 644,273,745,169,243 is 19703125260.
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.
644 x 273 x 745 x 169 x 243 = 5378953195980
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
273 : 1, 3, 7, 13, 21, 39, 91, 273
745 : 1, 5, 149, 745
169 : 1, 13, 169
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,273,745,169,243, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
273:3x 7x 13
745:5x 149
169:13x 13
243:3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13 = 273
Therefore, the value for common factors is 273.
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 = 5378953195980/(1x273)
LCM = 5378953195980/273
LCM = 19703125260
Thus, we can understand that the LCM of 644,273,745,169,243 is 19703125260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 644, 273, 745, 169, 243
1. What is the LCM of 644, 273, 745, 169, 243?
Answer: LCM of 644, 273, 745, 169, 243 is 19703125260.
2. How to calculate the LCM of 644, 273, 745, 169, 243?
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 644, 273, 745, 169, 243.
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}.