LCM of 273, 120, 721, 495, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 120, 721, 495, 161 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, 120, 721, 495, 161. So, keep reading to learn more.
Given numbers are 273,120,721,495,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,120,721,495,161 is 853692840.
Find LCM of 273,120,721,495,161 with Prime Factorization
| 3 | 273, 120, 721, 495, 161 |
| 5 | 91, 40, 721, 165, 161 |
| 7 | 91, 8, 721, 33, 161 |
| 13, 8, 103, 33, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 8 x 103 x 33 x 23 = 853692840
Therefore, the lowest common multiple of 273,120,721,495,161 is 853692840.
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 120 x 721 x 495 x 161 = 1882392712200
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
721 : 1, 7, 103, 721
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,120,721,495,161, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
120:2x 2x 2x 3x 5
721:7x 103
495:3x 3x 5x 11
161:7x 23
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 5x 7x 7 = 2205
Therefore, the value for common factors is 2205.
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 = 1882392712200/(1x2205)
LCM = 1882392712200/2205
LCM = 853692840
Thus, we can understand that the LCM of 273,120,721,495,161 is 853692840.
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FAQs on LCM of 273, 120, 721, 495, 161
1. What is the LCM of 273, 120, 721, 495, 161?
Answer: LCM of 273, 120, 721, 495, 161 is 853692840.
2. How to calculate the LCM of 273, 120, 721, 495, 161?
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, 120, 721, 495, 161.
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}.