LCM of 471, 450, 228, 420, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 450, 228, 420, 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 471, 450, 228, 420, 577. So, keep reading to learn more.
Given numbers are 471,450,228,420,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,450,228,420,577 is 10843503300.
Find LCM of 471,450,228,420,577 with Prime Factorization
| 2 | 471, 450, 228, 420, 577 |
| 2 | 471, 225, 114, 210, 577 |
| 3 | 471, 225, 57, 105, 577 |
| 5 | 157, 75, 19, 35, 577 |
| 157, 15, 19, 7, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 157 x 15 x 19 x 7 x 577 = 10843503300
Therefore, the lowest common multiple of 471,450,228,420,577 is 10843503300.
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.
471 x 450 x 228 x 420 x 577 = 11710983564000
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.
471 : 1, 3, 157, 471
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,450,228,420,577, is 1.
Now, the common factors can be found like this.
471:3x 157
450:2x 3x 3x 5x 5
228:2x 2x 3x 19
420:2x 2x 3x 5x 7
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 2x 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 11710983564000/(1x1080)
LCM = 11710983564000/1080
LCM = 10843503300
Thus, we can understand that the LCM of 471,450,228,420,577 is 10843503300.
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FAQs on LCM of 471, 450, 228, 420, 577
1. What is the LCM of 471, 450, 228, 420, 577?
Answer: LCM of 471, 450, 228, 420, 577 is 10843503300.
2. How to calculate the LCM of 471, 450, 228, 420, 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 471, 450, 228, 420, 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}.