LCM of 502, 939, 942, 462, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 502, 939, 942, 462, 162 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 502, 939, 942, 462, 162. So, keep reading to learn more.
Given numbers are 502,939,942,462,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,939,942,462,162 is 153859193334.
Find LCM of 502,939,942,462,162 with Prime Factorization
| 2 | 502, 939, 942, 462, 162 |
| 3 | 251, 939, 471, 231, 81 |
| 251, 313, 157, 77, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 251 x 313 x 157 x 77 x 27 = 153859193334
Therefore, the lowest common multiple of 502,939,942,462,162 is 153859193334.
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.
502 x 939 x 942 x 462 x 162 = 33233585760144
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.
502 : 1, 2, 251, 502
939 : 1, 3, 313, 939
942 : 1, 2, 3, 6, 157, 314, 471, 942
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,939,942,462,162, is 1.
Now, the common factors can be found like this.
502:2x 251
939:3x 313
942:2x 3x 157
462:2x 3x 7x 11
162:2x 3x 3x 3x 3
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 = 33233585760144/(1x216)
LCM = 33233585760144/216
LCM = 153859193334
Thus, we can understand that the LCM of 502,939,942,462,162 is 153859193334.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 502, 939, 942, 462, 162
1. What is the LCM of 502, 939, 942, 462, 162?
Answer: LCM of 502, 939, 942, 462, 162 is 153859193334.
2. How to calculate the LCM of 502, 939, 942, 462, 162?
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 502, 939, 942, 462, 162.
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}.