LCM of 867, 798, 589, 171, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 798, 589, 171, 532 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 867, 798, 589, 171, 532. So, keep reading to learn more.
Given numbers are 867,798,589,171,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,798,589,171,532 is 42895692.
Find LCM of 867,798,589,171,532 with Prime Factorization
| 2 | 867, 798, 589, 171, 532 |
| 3 | 867, 399, 589, 171, 266 |
| 7 | 289, 133, 589, 57, 266 |
| 19 | 289, 19, 589, 57, 38 |
| 289, 1, 31, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 289 x 1 x 31 x 3 x 2 = 42895692
Therefore, the lowest common multiple of 867,798,589,171,532 is 42895692.
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.
867 x 798 x 589 x 171 x 532 = 37071915479928
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.
867 : 1, 3, 17, 51, 289, 867
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
589 : 1, 19, 31, 589
171 : 1, 3, 9, 19, 57, 171
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,798,589,171,532, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
798:2x 3x 7x 19
589:19x 31
171:3x 3x 19
532:2x 2x 7x 19
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 7x 19x 19x 19 = 864234
Therefore, the value for common factors is 864234.
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 = 37071915479928/(1x864234)
LCM = 37071915479928/864234
LCM = 42895692
Thus, we can understand that the LCM of 867,798,589,171,532 is 42895692.
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FAQs on LCM of 867, 798, 589, 171, 532
1. What is the LCM of 867, 798, 589, 171, 532?
Answer: LCM of 867, 798, 589, 171, 532 is 42895692.
2. How to calculate the LCM of 867, 798, 589, 171, 532?
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 867, 798, 589, 171, 532.
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}.