LCM of 313, 800, 450, 561, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 800, 450, 561, 577 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 313, 800, 450, 561, 577. So, keep reading to learn more.
Given numbers are 313,800,450,561,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,800,450,561,577 is 243161186400.
Find LCM of 313,800,450,561,577 with Prime Factorization
| 2 | 313, 800, 450, 561, 577 |
| 3 | 313, 400, 225, 561, 577 |
| 5 | 313, 400, 75, 187, 577 |
| 5 | 313, 80, 15, 187, 577 |
| 313, 16, 3, 187, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 313 x 16 x 3 x 187 x 577 = 243161186400
Therefore, the lowest common multiple of 313,800,450,561,577 is 243161186400.
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.
313 x 800 x 450 x 561 x 577 = 36474177960000
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.
313 : 1, 313
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
561 : 1, 3, 11, 17, 33, 51, 187, 561
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,800,450,561,577, is 1.
Now, the common factors can be found like this.
313:313
800:2x 2x 2x 2x 2x 5x 5
450:2x 3x 3x 5x 5
561:3x 11x 17
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 36474177960000/(1x150)
LCM = 36474177960000/150
LCM = 243161186400
Thus, we can understand that the LCM of 313,800,450,561,577 is 243161186400.
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FAQs on LCM of 313, 800, 450, 561, 577
1. What is the LCM of 313, 800, 450, 561, 577?
Answer: LCM of 313, 800, 450, 561, 577 is 243161186400.
2. How to calculate the LCM of 313, 800, 450, 561, 577?
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 313, 800, 450, 561, 577.
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}.