LCM of 722, 405, 255, 262, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 405, 255, 262, 126 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 722, 405, 255, 262, 126. So, keep reading to learn more.
Given numbers are 722,405,255,262,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,405,255,262,126 is 4558379490.
Find LCM of 722,405,255,262,126 with Prime Factorization
| 2 | 722, 405, 255, 262, 126 |
| 3 | 361, 405, 255, 131, 63 |
| 3 | 361, 135, 85, 131, 21 |
| 5 | 361, 45, 85, 131, 7 |
| 361, 9, 17, 131, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 361 x 9 x 17 x 131 x 7 = 4558379490
Therefore, the lowest common multiple of 722,405,255,262,126 is 4558379490.
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.
722 x 405 x 255 x 262 x 126 = 2461524924600
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.
722 : 1, 2, 19, 38, 361, 722
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
255 : 1, 3, 5, 15, 17, 51, 85, 255
262 : 1, 2, 131, 262
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,405,255,262,126, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
405:3x 3x 3x 3x 5
255:3x 5x 17
262:2x 131
126:2x 3x 3x 7
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 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 2461524924600/(1x540)
LCM = 2461524924600/540
LCM = 4558379490
Thus, we can understand that the LCM of 722,405,255,262,126 is 4558379490.
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FAQs on LCM of 722, 405, 255, 262, 126
1. What is the LCM of 722, 405, 255, 262, 126?
Answer: LCM of 722, 405, 255, 262, 126 is 4558379490.
2. How to calculate the LCM of 722, 405, 255, 262, 126?
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 722, 405, 255, 262, 126.
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}.