LCM of 297, 450, 815, 564, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 450, 815, 564, 900 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 297, 450, 815, 564, 900. So, keep reading to learn more.
Given numbers are 297,450,815,564,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,450,815,564,900 is 227531700.
Find LCM of 297,450,815,564,900 with Prime Factorization
| 2 | 297, 450, 815, 564, 900 |
| 2 | 297, 225, 815, 282, 450 |
| 3 | 297, 225, 815, 141, 225 |
| 3 | 99, 75, 815, 47, 75 |
| 5 | 33, 25, 815, 47, 25 |
| 5 | 33, 5, 163, 47, 5 |
| 33, 1, 163, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 33 x 1 x 163 x 47 x 1 = 227531700
Therefore, the lowest common multiple of 297,450,815,564,900 is 227531700.
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.
297 x 450 x 815 x 564 x 900 = 55290203100000
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
815 : 1, 5, 163, 815
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,450,815,564,900, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
450:2x 3x 3x 5x 5
815:5x 163
564:2x 2x 3x 47
900:2x 2x 3x 3x 5x 5
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 3x 3x 5x 5x 5 = 243000
Therefore, the value for common factors is 243000.
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 = 55290203100000/(1x243000)
LCM = 55290203100000/243000
LCM = 227531700
Thus, we can understand that the LCM of 297,450,815,564,900 is 227531700.
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FAQs on LCM of 297, 450, 815, 564, 900
1. What is the LCM of 297, 450, 815, 564, 900?
Answer: LCM of 297, 450, 815, 564, 900 is 227531700.
2. How to calculate the LCM of 297, 450, 815, 564, 900?
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 297, 450, 815, 564, 900.
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}.