LCM of 567, 946, 627, 589, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 946, 627, 589, 889 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, 946, 627, 589, 889. So, keep reading to learn more.
Given numbers are 567,946,627,589,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,946,627,589,889 is 40122982746.
Find LCM of 567,946,627,589,889 with Prime Factorization
| 3 | 567, 946, 627, 589, 889 |
| 7 | 189, 946, 209, 589, 889 |
| 11 | 27, 946, 209, 589, 127 |
| 19 | 27, 86, 19, 589, 127 |
| 27, 86, 1, 31, 127 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 19 x 27 x 86 x 1 x 31 x 127 = 40122982746
Therefore, the lowest common multiple of 567,946,627,589,889 is 40122982746.
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 946 x 627 x 589 x 889 = 176099771272194
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
946 : 1, 2, 11, 22, 43, 86, 473, 946
627 : 1, 3, 11, 19, 33, 57, 209, 627
589 : 1, 19, 31, 589
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,946,627,589,889, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
946:2x 11x 43
627:3x 11x 19
589:19x 31
889:7x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 19 = 4389
Therefore, the value for common factors is 4389.
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 = 176099771272194/(1x4389)
LCM = 176099771272194/4389
LCM = 40122982746
Thus, we can understand that the LCM of 567,946,627,589,889 is 40122982746.
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FAQs on LCM of 567, 946, 627, 589, 889
1. What is the LCM of 567, 946, 627, 589, 889?
Answer: LCM of 567, 946, 627, 589, 889 is 40122982746.
2. How to calculate the LCM of 567, 946, 627, 589, 889?
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, 946, 627, 589, 889.
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}.