LCM of 843, 917, 803, 252, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 917, 803, 252, 262 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 843, 917, 803, 252, 262. So, keep reading to learn more.
Given numbers are 843,917,803,252,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,917,803,252,262 is 7448926716.
Find LCM of 843,917,803,252,262 with Prime Factorization
| 2 | 843, 917, 803, 252, 262 |
| 3 | 843, 917, 803, 126, 131 |
| 7 | 281, 917, 803, 42, 131 |
| 131 | 281, 131, 803, 6, 131 |
| 281, 1, 803, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 131 x 281 x 1 x 803 x 6 x 1 = 7448926716
Therefore, the lowest common multiple of 843,917,803,252,262 is 7448926716.
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.
843 x 917 x 803 x 252 x 262 = 40983994791432
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.
843 : 1, 3, 281, 843
917 : 1, 7, 131, 917
803 : 1, 11, 73, 803
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,917,803,252,262, is 1.
Now, the common factors can be found like this.
843:3x 281
917:7x 131
803:11x 73
252:2x 2x 3x 3x 7
262:2x 131
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 7x 131 = 5502
Therefore, the value for common factors is 5502.
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 = 40983994791432/(1x5502)
LCM = 40983994791432/5502
LCM = 7448926716
Thus, we can understand that the LCM of 843,917,803,252,262 is 7448926716.
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FAQs on LCM of 843, 917, 803, 252, 262
1. What is the LCM of 843, 917, 803, 252, 262?
Answer: LCM of 843, 917, 803, 252, 262 is 7448926716.
2. How to calculate the LCM of 843, 917, 803, 252, 262?
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 843, 917, 803, 252, 262.
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}.