LCM of 799, 777, 282, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 777, 282, 269 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 799, 777, 282, 269. So, keep reading to learn more.
Given numbers are 799,777,282,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,777,282,269 is 334002774.
Find LCM of 799,777,282,269 with Prime Factorization
| 3 | 799, 777, 282, 269 |
| 47 | 799, 259, 94, 269 |
| 17, 259, 2, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 17 x 259 x 2 x 269 = 334002774
Therefore, the lowest common multiple of 799,777,282,269 is 334002774.
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.
799 x 777 x 282 x 269 = 47094391134
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.
799 : 1, 17, 47, 799
777 : 1, 3, 7, 21, 37, 111, 259, 777
282 : 1, 2, 3, 6, 47, 94, 141, 282
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,777,282,269, is 1.
Now, the common factors can be found like this.
799:17x 47
777:3x 7x 37
282:2x 3x 47
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 47 = 141
Therefore, the value for common factors is 141.
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 = 47094391134/(1x141)
LCM = 47094391134/141
LCM = 334002774
Thus, we can understand that the LCM of 799,777,282,269 is 334002774.
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FAQs on LCM of 799, 777, 282, 269
1. What is the LCM of 799, 777, 282, 269?
Answer: LCM of 799, 777, 282, 269 is 334002774.
2. How to calculate the LCM of 799, 777, 282, 269?
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 799, 777, 282, 269.
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}.