LCM of 273, 460, 139, 556, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 460, 139, 556, 845 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, 460, 139, 556, 845. So, keep reading to learn more.
Given numbers are 273,460,139,556,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,460,139,556,845 is 226923060.
Find LCM of 273,460,139,556,845 with Prime Factorization
| 2 | 273, 460, 139, 556, 845 |
| 2 | 273, 230, 139, 278, 845 |
| 5 | 273, 115, 139, 139, 845 |
| 13 | 273, 23, 139, 139, 169 |
| 139 | 21, 23, 139, 139, 13 |
| 21, 23, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 139 x 21 x 23 x 1 x 1 x 13 = 226923060
Therefore, the lowest common multiple of 273,460,139,556,845 is 226923060.
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 460 x 139 x 556 x 845 = 8200999388400
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
139 : 1, 139
556 : 1, 2, 4, 139, 278, 556
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,460,139,556,845, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
460:2x 2x 5x 23
139:139
556:2x 2x 139
845:5x 13x 13
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 5x 13x 139 = 36140
Therefore, the value for common factors is 36140.
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 = 8200999388400/(1x36140)
LCM = 8200999388400/36140
LCM = 226923060
Thus, we can understand that the LCM of 273,460,139,556,845 is 226923060.
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FAQs on LCM of 273, 460, 139, 556, 845
1. What is the LCM of 273, 460, 139, 556, 845?
Answer: LCM of 273, 460, 139, 556, 845 is 226923060.
2. How to calculate the LCM of 273, 460, 139, 556, 845?
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, 460, 139, 556, 845.
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}.