LCM of 822, 244, 509, 909, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 244, 509, 909, 781 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 822, 244, 509, 909, 781. So, keep reading to learn more.
Given numbers are 822,244,509,909,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,244,509,909,781 is 12079336865508.
Find LCM of 822,244,509,909,781 with Prime Factorization
| 2 | 822, 244, 509, 909, 781 |
| 3 | 411, 122, 509, 909, 781 |
| 137, 122, 509, 303, 781 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 122 x 509 x 303 x 781 = 12079336865508
Therefore, the lowest common multiple of 822,244,509,909,781 is 12079336865508.
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.
822 x 244 x 509 x 909 x 781 = 72476021193048
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
244 : 1, 2, 4, 61, 122, 244
509 : 1, 509
909 : 1, 3, 9, 101, 303, 909
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,244,509,909,781, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
244:2x 2x 61
509:509
909:3x 3x 101
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 72476021193048/(1x6)
LCM = 72476021193048/6
LCM = 12079336865508
Thus, we can understand that the LCM of 822,244,509,909,781 is 12079336865508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 244, 509, 909, 781
1. What is the LCM of 822, 244, 509, 909, 781?
Answer: LCM of 822, 244, 509, 909, 781 is 12079336865508.
2. How to calculate the LCM of 822, 244, 509, 909, 781?
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 822, 244, 509, 909, 781.
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}.