LCM of 889, 459, 567, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 459, 567, 636 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 889, 459, 567, 636. So, keep reading to learn more.
Given numbers are 889,459,567,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,459,567,636 is 259520436.
Find LCM of 889,459,567,636 with Prime Factorization
| 3 | 889, 459, 567, 636 |
| 3 | 889, 153, 189, 212 |
| 3 | 889, 51, 63, 212 |
| 7 | 889, 17, 21, 212 |
| 127, 17, 3, 212 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 127 x 17 x 3 x 212 = 259520436
Therefore, the lowest common multiple of 889,459,567,636 is 259520436.
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.
889 x 459 x 567 x 636 = 147148087212
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.
889 : 1, 7, 127, 889
459 : 1, 3, 9, 17, 27, 51, 153, 459
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,459,567,636, is 1.
Now, the common factors can be found like this.
889:7x 127
459:3x 3x 3x 17
567:3x 3x 3x 3x 7
636:2x 2x 3x 53
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 7 = 567
Therefore, the value for common factors is 567.
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 = 147148087212/(1x567)
LCM = 147148087212/567
LCM = 259520436
Thus, we can understand that the LCM of 889,459,567,636 is 259520436.
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FAQs on LCM of 889, 459, 567, 636
1. What is the LCM of 889, 459, 567, 636?
Answer: LCM of 889, 459, 567, 636 is 259520436.
2. How to calculate the LCM of 889, 459, 567, 636?
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 889, 459, 567, 636.
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}.