LCM of 273, 481, 208, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 481, 208, 749 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, 481, 208, 749. So, keep reading to learn more.
Given numbers are 273,481,208,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,481,208,749 is 17292912.
Find LCM of 273,481,208,749 with Prime Factorization
| 7 | 273, 481, 208, 749 |
| 13 | 39, 481, 208, 107 |
| 3, 37, 16, 107 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 3 x 37 x 16 x 107 = 17292912
Therefore, the lowest common multiple of 273,481,208,749 is 17292912.
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 481 x 208 x 749 = 20457514896
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
481 : 1, 13, 37, 481
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,481,208,749, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
481:13x 37
208:2x 2x 2x 2x 13
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 13 = 1183
Therefore, the value for common factors is 1183.
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 = 20457514896/(1x1183)
LCM = 20457514896/1183
LCM = 17292912
Thus, we can understand that the LCM of 273,481,208,749 is 17292912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 273, 481, 208, 749
1. What is the LCM of 273, 481, 208, 749?
Answer: LCM of 273, 481, 208, 749 is 17292912.
2. How to calculate the LCM of 273, 481, 208, 749?
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, 481, 208, 749.
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}.