LCM of 273, 825, 431, 611, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 825, 431, 611, 520 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, 825, 431, 611, 520. So, keep reading to learn more.
Given numbers are 273,825,431,611,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,825,431,611,520 is 12166354200.
Find LCM of 273,825,431,611,520 with Prime Factorization
| 3 | 273, 825, 431, 611, 520 |
| 5 | 91, 275, 431, 611, 520 |
| 13 | 91, 55, 431, 611, 104 |
| 7, 55, 431, 47, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 7 x 55 x 431 x 47 x 8 = 12166354200
Therefore, the lowest common multiple of 273,825,431,611,520 is 12166354200.
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 825 x 431 x 611 x 520 = 30841707897000
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
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
431 : 1, 431
611 : 1, 13, 47, 611
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,825,431,611,520, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
825:3x 5x 5x 11
431:431
611:13x 47
520:2x 2x 2x 5x 13
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 13x 13 = 2535
Therefore, the value for common factors is 2535.
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 = 30841707897000/(1x2535)
LCM = 30841707897000/2535
LCM = 12166354200
Thus, we can understand that the LCM of 273,825,431,611,520 is 12166354200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 273, 825, 431, 611, 520
1. What is the LCM of 273, 825, 431, 611, 520?
Answer: LCM of 273, 825, 431, 611, 520 is 12166354200.
2. How to calculate the LCM of 273, 825, 431, 611, 520?
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, 825, 431, 611, 520.
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}.