LCM of 273, 401, 364, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 401, 364, 448 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, 401, 364, 448. So, keep reading to learn more.
Given numbers are 273,401,364,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,401,364,448 is 7006272.
Find LCM of 273,401,364,448 with Prime Factorization
| 2 | 273, 401, 364, 448 |
| 2 | 273, 401, 182, 224 |
| 7 | 273, 401, 91, 112 |
| 13 | 39, 401, 13, 16 |
| 3, 401, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 3 x 401 x 1 x 16 = 7006272
Therefore, the lowest common multiple of 273,401,364,448 is 7006272.
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 401 x 364 x 448 = 17851981056
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
401 : 1, 401
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,401,364,448, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
401:401
364:2x 2x 7x 13
448:2x 2x 2x 2x 2x 2x 7
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 7x 7x 13 = 2548
Therefore, the value for common factors is 2548.
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 = 17851981056/(1x2548)
LCM = 17851981056/2548
LCM = 7006272
Thus, we can understand that the LCM of 273,401,364,448 is 7006272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 273, 401, 364, 448
1. What is the LCM of 273, 401, 364, 448?
Answer: LCM of 273, 401, 364, 448 is 7006272.
2. How to calculate the LCM of 273, 401, 364, 448?
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, 401, 364, 448.
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}.