LCM of 262, 990, 786, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 990, 786, 465 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, 990, 786, 465. So, keep reading to learn more.
Given numbers are 262,990,786,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,990,786,465 is 4020390.
Find LCM of 262,990,786,465 with Prime Factorization
| 2 | 262, 990, 786, 465 |
| 3 | 131, 495, 393, 465 |
| 5 | 131, 165, 131, 155 |
| 131 | 131, 33, 131, 31 |
| 1, 33, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 131 x 1 x 33 x 1 x 31 = 4020390
Therefore, the lowest common multiple of 262,990,786,465 is 4020390.
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 990 x 786 x 465 = 94800796200
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
786 : 1, 2, 3, 6, 131, 262, 393, 786
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,990,786,465, is 1.
Now, the common factors can be found like this.
262:2x 131
990:2x 3x 3x 5x 11
786:2x 3x 131
465:3x 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 3x 5x 131 = 23580
Therefore, the value for common factors is 23580.
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 = 94800796200/(1x23580)
LCM = 94800796200/23580
LCM = 4020390
Thus, we can understand that the LCM of 262,990,786,465 is 4020390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 990, 786, 465
1. What is the LCM of 262, 990, 786, 465?
Answer: LCM of 262, 990, 786, 465 is 4020390.
2. How to calculate the LCM of 262, 990, 786, 465?
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, 990, 786, 465.
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}.