LCM of 138, 904, 306, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 904, 306, 427 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 138, 904, 306, 427. So, keep reading to learn more.
Given numbers are 138,904,306,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,904,306,427 is 1358362152.
Find LCM of 138,904,306,427 with Prime Factorization
| 2 | 138, 904, 306, 427 |
| 3 | 69, 452, 153, 427 |
| 23, 452, 51, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 452 x 51 x 427 = 1358362152
Therefore, the lowest common multiple of 138,904,306,427 is 1358362152.
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.
138 x 904 x 306 x 427 = 16300345824
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
904 : 1, 2, 4, 8, 113, 226, 452, 904
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,904,306,427, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
904:2x 2x 2x 113
306:2x 3x 3x 17
427:7x 61
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 3 = 12
Therefore, the value for common factors is 12.
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 = 16300345824/(1x12)
LCM = 16300345824/12
LCM = 1358362152
Thus, we can understand that the LCM of 138,904,306,427 is 1358362152.
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FAQs on LCM of 138, 904, 306, 427
1. What is the LCM of 138, 904, 306, 427?
Answer: LCM of 138, 904, 306, 427 is 1358362152.
2. How to calculate the LCM of 138, 904, 306, 427?
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 138, 904, 306, 427.
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}.