LCM of 810, 216, 501, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 216, 501, 962 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 810, 216, 501, 962. So, keep reading to learn more.
Given numbers are 810,216,501,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,216,501,962 is 260259480.
Find LCM of 810,216,501,962 with Prime Factorization
| 2 | 810, 216, 501, 962 |
| 3 | 405, 108, 501, 481 |
| 3 | 135, 36, 167, 481 |
| 3 | 45, 12, 167, 481 |
| 15, 4, 167, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 15 x 4 x 167 x 481 = 260259480
Therefore, the lowest common multiple of 810,216,501,962 is 260259480.
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.
810 x 216 x 501 x 962 = 84324071520
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
501 : 1, 3, 167, 501
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,216,501,962, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
216:2x 2x 2x 3x 3x 3
501:3x 167
962:2x 13x 37
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 3 = 324
Therefore, the value for common factors is 324.
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 = 84324071520/(1x324)
LCM = 84324071520/324
LCM = 260259480
Thus, we can understand that the LCM of 810,216,501,962 is 260259480.
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FAQs on LCM of 810, 216, 501, 962
1. What is the LCM of 810, 216, 501, 962?
Answer: LCM of 810, 216, 501, 962 is 260259480.
2. How to calculate the LCM of 810, 216, 501, 962?
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 810, 216, 501, 962.
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}.