LCM of 565, 917, 292, 867, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 917, 292, 867, 722 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, 917, 292, 867, 722. So, keep reading to learn more.
Given numbers are 565,917,292,867,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,917,292,867,722 is 47350757853420.
Find LCM of 565,917,292,867,722 with Prime Factorization
| 2 | 565, 917, 292, 867, 722 |
| 565, 917, 146, 867, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 565 x 917 x 146 x 867 x 361 = 47350757853420
Therefore, the lowest common multiple of 565,917,292,867,722 is 47350757853420.
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 917 x 292 x 867 x 722 = 94701515706840
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
917 : 1, 7, 131, 917
292 : 1, 2, 4, 73, 146, 292
867 : 1, 3, 17, 51, 289, 867
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,917,292,867,722, is 1.
Now, the common factors can be found like this.
565:5x 113
917:7x 131
292:2x 2x 73
867:3x 17x 17
722:2x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 94701515706840/(1x2)
LCM = 94701515706840/2
LCM = 47350757853420
Thus, we can understand that the LCM of 565,917,292,867,722 is 47350757853420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 565, 917, 292, 867, 722
1. What is the LCM of 565, 917, 292, 867, 722?
Answer: LCM of 565, 917, 292, 867, 722 is 47350757853420.
2. How to calculate the LCM of 565, 917, 292, 867, 722?
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, 917, 292, 867, 722.
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}.