LCM of 828, 261, 742, 901, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 261, 742, 901, 777 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 828, 261, 742, 901, 777. So, keep reading to learn more.
Given numbers are 828,261,742,901,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,261,742,901,777 is 5603416308.
Find LCM of 828,261,742,901,777 with Prime Factorization
| 2 | 828, 261, 742, 901, 777 |
| 3 | 414, 261, 371, 901, 777 |
| 3 | 138, 87, 371, 901, 259 |
| 7 | 46, 29, 371, 901, 259 |
| 53 | 46, 29, 53, 901, 37 |
| 46, 29, 1, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 53 x 46 x 29 x 1 x 17 x 37 = 5603416308
Therefore, the lowest common multiple of 828,261,742,901,777 is 5603416308.
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.
828 x 261 x 742 x 901 x 777 = 112258842314472
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
261 : 1, 3, 9, 29, 87, 261
742 : 1, 2, 7, 14, 53, 106, 371, 742
901 : 1, 17, 53, 901
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,261,742,901,777, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
261:3x 3x 29
742:2x 7x 53
901:17x 53
777:3x 7x 37
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 3x 3x 7x 53 = 20034
Therefore, the value for common factors is 20034.
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 = 112258842314472/(1x20034)
LCM = 112258842314472/20034
LCM = 5603416308
Thus, we can understand that the LCM of 828,261,742,901,777 is 5603416308.
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FAQs on LCM of 828, 261, 742, 901, 777
1. What is the LCM of 828, 261, 742, 901, 777?
Answer: LCM of 828, 261, 742, 901, 777 is 5603416308.
2. How to calculate the LCM of 828, 261, 742, 901, 777?
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 828, 261, 742, 901, 777.
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}.