LCM of 561, 189, 130, 567, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 189, 130, 567, 825 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 561, 189, 130, 567, 825. So, keep reading to learn more.
Given numbers are 561,189,130,567,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,189,130,567,825 is 68918850.
Find LCM of 561,189,130,567,825 with Prime Factorization
| 3 | 561, 189, 130, 567, 825 |
| 3 | 187, 63, 130, 189, 275 |
| 3 | 187, 21, 130, 63, 275 |
| 5 | 187, 7, 130, 21, 275 |
| 7 | 187, 7, 26, 21, 55 |
| 11 | 187, 1, 26, 3, 55 |
| 17, 1, 26, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 11 x 17 x 1 x 26 x 3 x 5 = 68918850
Therefore, the lowest common multiple of 561,189,130,567,825 is 68918850.
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.
561 x 189 x 130 x 567 x 825 = 6447703011750
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
189 : 1, 3, 7, 9, 21, 27, 63, 189
130 : 1, 2, 5, 10, 13, 26, 65, 130
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,189,130,567,825, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
189:3x 3x 3x 7
130:2x 5x 13
567:3x 3x 3x 3x 7
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5x 7x 11 = 93555
Therefore, the value for common factors is 93555.
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 = 6447703011750/(1x93555)
LCM = 6447703011750/93555
LCM = 68918850
Thus, we can understand that the LCM of 561,189,130,567,825 is 68918850.
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FAQs on LCM of 561, 189, 130, 567, 825
1. What is the LCM of 561, 189, 130, 567, 825?
Answer: LCM of 561, 189, 130, 567, 825 is 68918850.
2. How to calculate the LCM of 561, 189, 130, 567, 825?
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 561, 189, 130, 567, 825.
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}.