LCM of 262, 229, 822, 486, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 229, 822, 486, 450 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, 229, 822, 486, 450. So, keep reading to learn more.
Given numbers are 262,229,822,486,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,229,822,486,450 is 49934835450.
Find LCM of 262,229,822,486,450 with Prime Factorization
| 2 | 262, 229, 822, 486, 450 |
| 3 | 131, 229, 411, 243, 225 |
| 3 | 131, 229, 137, 81, 75 |
| 131, 229, 137, 27, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 131 x 229 x 137 x 27 x 25 = 49934835450
Therefore, the lowest common multiple of 262,229,822,486,450 is 49934835450.
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 229 x 822 x 486 x 450 = 10785924457200
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
229 : 1, 229
822 : 1, 2, 3, 6, 137, 274, 411, 822
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,229,822,486,450, is 1.
Now, the common factors can be found like this.
262:2x 131
229:229
822:2x 3x 137
486:2x 3x 3x 3x 3x 3
450:2x 3x 3x 5x 5
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 10785924457200/(1x216)
LCM = 10785924457200/216
LCM = 49934835450
Thus, we can understand that the LCM of 262,229,822,486,450 is 49934835450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 229, 822, 486, 450
1. What is the LCM of 262, 229, 822, 486, 450?
Answer: LCM of 262, 229, 822, 486, 450 is 49934835450.
2. How to calculate the LCM of 262, 229, 822, 486, 450?
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, 229, 822, 486, 450.
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}.