LCM of 462, 781, 446, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 781, 446, 892 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 462, 781, 446, 892. So, keep reading to learn more.
Given numbers are 462,781,446,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,781,446,892 is 14629692.
Find LCM of 462,781,446,892 with Prime Factorization
| 2 | 462, 781, 446, 892 |
| 11 | 231, 781, 223, 446 |
| 223 | 21, 71, 223, 446 |
| 21, 71, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 223 x 21 x 71 x 1 x 2 = 14629692
Therefore, the lowest common multiple of 462,781,446,892 is 14629692.
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.
462 x 781 x 446 x 892 = 143546537904
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
781 : 1, 11, 71, 781
446 : 1, 2, 223, 446
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,781,446,892, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
781:11x 71
446:2x 223
892:2x 2x 223
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 11x 223 = 9812
Therefore, the value for common factors is 9812.
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 = 143546537904/(1x9812)
LCM = 143546537904/9812
LCM = 14629692
Thus, we can understand that the LCM of 462,781,446,892 is 14629692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 781, 446, 892
1. What is the LCM of 462, 781, 446, 892?
Answer: LCM of 462, 781, 446, 892 is 14629692.
2. How to calculate the LCM of 462, 781, 446, 892?
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 462, 781, 446, 892.
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}.