LCM of 565, 886, 722, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 886, 722, 893 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 565, 886, 722, 893. So, keep reading to learn more.
Given numbers are 565,886,722,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,886,722,893 is 8493510530.
Find LCM of 565,886,722,893 with Prime Factorization
| 2 | 565, 886, 722, 893 |
| 19 | 565, 443, 361, 893 |
| 565, 443, 19, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 565 x 443 x 19 x 47 = 8493510530
Therefore, the lowest common multiple of 565,886,722,893 is 8493510530.
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.
565 x 886 x 722 x 893 = 322753400140
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.
565 : 1, 5, 113, 565
886 : 1, 2, 443, 886
722 : 1, 2, 19, 38, 361, 722
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,886,722,893, is 1.
Now, the common factors can be found like this.
565:5x 113
886:2x 443
722:2x 19x 19
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 322753400140/(1x38)
LCM = 322753400140/38
LCM = 8493510530
Thus, we can understand that the LCM of 565,886,722,893 is 8493510530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 886, 722, 893
1. What is the LCM of 565, 886, 722, 893?
Answer: LCM of 565, 886, 722, 893 is 8493510530.
2. How to calculate the LCM of 565, 886, 722, 893?
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 565, 886, 722, 893.
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}.