LCM of 462, 990, 138, 309, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 990, 138, 309, 178 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, 990, 138, 309, 178. So, keep reading to learn more.
Given numbers are 462,990,138,309,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,990,138,309,178 is 1461128130.
Find LCM of 462,990,138,309,178 with Prime Factorization
| 2 | 462, 990, 138, 309, 178 |
| 3 | 231, 495, 69, 309, 89 |
| 11 | 77, 165, 23, 103, 89 |
| 7, 15, 23, 103, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 7 x 15 x 23 x 103 x 89 = 1461128130
Therefore, the lowest common multiple of 462,990,138,309,178 is 1461128130.
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 990 x 138 x 309 x 178 = 3471640436880
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
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
309 : 1, 3, 103, 309
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,990,138,309,178, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
990:2x 3x 3x 5x 11
138:2x 3x 23
309:3x 103
178:2x 89
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 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 3471640436880/(1x2376)
LCM = 3471640436880/2376
LCM = 1461128130
Thus, we can understand that the LCM of 462,990,138,309,178 is 1461128130.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 462, 990, 138, 309, 178
1. What is the LCM of 462, 990, 138, 309, 178?
Answer: LCM of 462, 990, 138, 309, 178 is 1461128130.
2. How to calculate the LCM of 462, 990, 138, 309, 178?
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, 990, 138, 309, 178.
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}.