LCM of 273, 967, 555, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 967, 555, 385 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, 967, 555, 385. So, keep reading to learn more.
Given numbers are 273,967,555,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,967,555,385 is 537221685.
Find LCM of 273,967,555,385 with Prime Factorization
| 3 | 273, 967, 555, 385 |
| 5 | 91, 967, 185, 385 |
| 7 | 91, 967, 37, 77 |
| 13, 967, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 967 x 37 x 11 = 537221685
Therefore, the lowest common multiple of 273,967,555,385 is 537221685.
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 967 x 555 x 385 = 56408276925
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
967 : 1, 967
555 : 1, 3, 5, 15, 37, 111, 185, 555
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,967,555,385, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
967:967
555:3x 5x 37
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 56408276925/(1x105)
LCM = 56408276925/105
LCM = 537221685
Thus, we can understand that the LCM of 273,967,555,385 is 537221685.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 273, 967, 555, 385
1. What is the LCM of 273, 967, 555, 385?
Answer: LCM of 273, 967, 555, 385 is 537221685.
2. How to calculate the LCM of 273, 967, 555, 385?
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, 967, 555, 385.
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}.