LCM of 564, 300, 471, 414, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 300, 471, 414, 805 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 564, 300, 471, 414, 805. So, keep reading to learn more.
Given numbers are 564,300,471,414,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,300,471,414,805 is 1069217100.
Find LCM of 564,300,471,414,805 with Prime Factorization
| 2 | 564, 300, 471, 414, 805 |
| 2 | 282, 150, 471, 207, 805 |
| 3 | 141, 75, 471, 207, 805 |
| 5 | 47, 25, 157, 69, 805 |
| 23 | 47, 5, 157, 69, 161 |
| 47, 5, 157, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 47 x 5 x 157 x 3 x 7 = 1069217100
Therefore, the lowest common multiple of 564,300,471,414,805 is 1069217100.
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.
564 x 300 x 471 x 414 x 805 = 26559352764000
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
471 : 1, 3, 157, 471
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,300,471,414,805, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
300:2x 2x 3x 5x 5
471:3x 157
414:2x 3x 3x 23
805:5x 7x 23
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 5x 23 = 24840
Therefore, the value for common factors is 24840.
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 = 26559352764000/(1x24840)
LCM = 26559352764000/24840
LCM = 1069217100
Thus, we can understand that the LCM of 564,300,471,414,805 is 1069217100.
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FAQs on LCM of 564, 300, 471, 414, 805
1. What is the LCM of 564, 300, 471, 414, 805?
Answer: LCM of 564, 300, 471, 414, 805 is 1069217100.
2. How to calculate the LCM of 564, 300, 471, 414, 805?
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 564, 300, 471, 414, 805.
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}.