LCM of 138, 309, 246, 721, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 309, 246, 721, 879 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, 309, 246, 721, 879. So, keep reading to learn more.
Given numbers are 138,309,246,721,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,309,246,721,879 is 1195269474.
Find LCM of 138,309,246,721,879 with Prime Factorization
| 2 | 138, 309, 246, 721, 879 |
| 3 | 69, 309, 123, 721, 879 |
| 103 | 23, 103, 41, 721, 293 |
| 23, 1, 41, 7, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 23 x 1 x 41 x 7 x 293 = 1195269474
Therefore, the lowest common multiple of 138,309,246,721,879 is 1195269474.
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 309 x 246 x 721 x 879 = 6648088814388
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
309 : 1, 3, 103, 309
246 : 1, 2, 3, 6, 41, 82, 123, 246
721 : 1, 7, 103, 721
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,309,246,721,879, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
309:3x 103
246:2x 3x 41
721:7x 103
879:3x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 103 = 5562
Therefore, the value for common factors is 5562.
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 = 6648088814388/(1x5562)
LCM = 6648088814388/5562
LCM = 1195269474
Thus, we can understand that the LCM of 138,309,246,721,879 is 1195269474.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 309, 246, 721, 879
1. What is the LCM of 138, 309, 246, 721, 879?
Answer: LCM of 138, 309, 246, 721, 879 is 1195269474.
2. How to calculate the LCM of 138, 309, 246, 721, 879?
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, 309, 246, 721, 879.
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}.