LCM of 568, 959, 822, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 959, 822, 813 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 568, 959, 822, 813. So, keep reading to learn more.
Given numbers are 568,959,822,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,959,822,813 is 442850856.
Find LCM of 568,959,822,813 with Prime Factorization
| 2 | 568, 959, 822, 813 |
| 3 | 284, 959, 411, 813 |
| 137 | 284, 959, 137, 271 |
| 284, 7, 1, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 284 x 7 x 1 x 271 = 442850856
Therefore, the lowest common multiple of 568,959,822,813 is 442850856.
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.
568 x 959 x 822 x 813 = 364023403632
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
959 : 1, 7, 137, 959
822 : 1, 2, 3, 6, 137, 274, 411, 822
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,959,822,813, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
959:7x 137
822:2x 3x 137
813:3x 271
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 137 = 822
Therefore, the value for common factors is 822.
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 = 364023403632/(1x822)
LCM = 364023403632/822
LCM = 442850856
Thus, we can understand that the LCM of 568,959,822,813 is 442850856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 568, 959, 822, 813
1. What is the LCM of 568, 959, 822, 813?
Answer: LCM of 568, 959, 822, 813 is 442850856.
2. How to calculate the LCM of 568, 959, 822, 813?
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 568, 959, 822, 813.
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}.