LCM of 273, 180, 401, 775, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 180, 401, 775, 788 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 273, 180, 401, 775, 788. So, keep reading to learn more.
Given numbers are 273,180,401,775,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,180,401,775,788 is 200565483300.
Find LCM of 273,180,401,775,788 with Prime Factorization
| 2 | 273, 180, 401, 775, 788 |
| 2 | 273, 90, 401, 775, 394 |
| 3 | 273, 45, 401, 775, 197 |
| 5 | 91, 15, 401, 775, 197 |
| 91, 3, 401, 155, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 91 x 3 x 401 x 155 x 197 = 200565483300
Therefore, the lowest common multiple of 273,180,401,775,788 is 200565483300.
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.
273 x 180 x 401 x 775 x 788 = 12033928998000
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
401 : 1, 401
775 : 1, 5, 25, 31, 155, 775
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,180,401,775,788, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
180:2x 2x 3x 3x 5
401:401
775:5x 5x 31
788:2x 2x 197
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 12033928998000/(1x60)
LCM = 12033928998000/60
LCM = 200565483300
Thus, we can understand that the LCM of 273,180,401,775,788 is 200565483300.
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FAQs on LCM of 273, 180, 401, 775, 788
1. What is the LCM of 273, 180, 401, 775, 788?
Answer: LCM of 273, 180, 401, 775, 788 is 200565483300.
2. How to calculate the LCM of 273, 180, 401, 775, 788?
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 273, 180, 401, 775, 788.
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}.