LCM of 262, 849, 138, 598, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 849, 138, 598, 775 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 262, 849, 138, 598, 775. So, keep reading to learn more.
Given numbers are 262,849,138,598,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,849,138,598,775 is 51544445550.
Find LCM of 262,849,138,598,775 with Prime Factorization
| 2 | 262, 849, 138, 598, 775 |
| 3 | 131, 849, 69, 299, 775 |
| 23 | 131, 283, 23, 299, 775 |
| 131, 283, 1, 13, 775 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 131 x 283 x 1 x 13 x 775 = 51544445550
Therefore, the lowest common multiple of 262,849,138,598,775 is 51544445550.
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.
262 x 849 x 138 x 598 x 775 = 14226266971800
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.
262 : 1, 2, 131, 262
849 : 1, 3, 283, 849
138 : 1, 2, 3, 6, 23, 46, 69, 138
598 : 1, 2, 13, 23, 26, 46, 299, 598
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,849,138,598,775, is 1.
Now, the common factors can be found like this.
262:2x 131
849:3x 283
138:2x 3x 23
598:2x 13x 23
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 14226266971800/(1x276)
LCM = 14226266971800/276
LCM = 51544445550
Thus, we can understand that the LCM of 262,849,138,598,775 is 51544445550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 849, 138, 598, 775
1. What is the LCM of 262, 849, 138, 598, 775?
Answer: LCM of 262, 849, 138, 598, 775 is 51544445550.
2. How to calculate the LCM of 262, 849, 138, 598, 775?
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 262, 849, 138, 598, 775.
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}.