LCM of 567, 240, 450, 609, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 240, 450, 609, 991 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 567, 240, 450, 609, 991. So, keep reading to learn more.
Given numbers are 567,240,450,609,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,240,450,609,991 is 6518005200.
Find LCM of 567,240,450,609,991 with Prime Factorization
| 2 | 567, 240, 450, 609, 991 |
| 3 | 567, 120, 225, 609, 991 |
| 3 | 189, 40, 75, 203, 991 |
| 5 | 63, 40, 25, 203, 991 |
| 7 | 63, 8, 5, 203, 991 |
| 9, 8, 5, 29, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 9 x 8 x 5 x 29 x 991 = 6518005200
Therefore, the lowest common multiple of 567,240,450,609,991 is 6518005200.
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.
567 x 240 x 450 x 609 x 991 = 36957089484000
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
609 : 1, 3, 7, 21, 29, 87, 203, 609
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,240,450,609,991, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
240:2x 2x 2x 2x 3x 5
450:2x 3x 3x 5x 5
609:3x 7x 29
991:991
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 3x 3x 3x 5x 7 = 5670
Therefore, the value for common factors is 5670.
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 = 36957089484000/(1x5670)
LCM = 36957089484000/5670
LCM = 6518005200
Thus, we can understand that the LCM of 567,240,450,609,991 is 6518005200.
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FAQs on LCM of 567, 240, 450, 609, 991
1. What is the LCM of 567, 240, 450, 609, 991?
Answer: LCM of 567, 240, 450, 609, 991 is 6518005200.
2. How to calculate the LCM of 567, 240, 450, 609, 991?
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 567, 240, 450, 609, 991.
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}.