LCM of 138, 722, 342, 361, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 722, 342, 361, 816 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, 722, 342, 361, 816. So, keep reading to learn more.
Given numbers are 138,722,342,361,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,722,342,361,816 is 20325744.
Find LCM of 138,722,342,361,816 with Prime Factorization
| 2 | 138, 722, 342, 361, 816 |
| 3 | 69, 361, 171, 361, 408 |
| 19 | 23, 361, 57, 361, 136 |
| 19 | 23, 19, 3, 19, 136 |
| 23, 1, 3, 1, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 19 x 23 x 1 x 3 x 1 x 136 = 20325744
Therefore, the lowest common multiple of 138,722,342,361,816 is 20325744.
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 722 x 342 x 361 x 816 = 10037828022912
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
722 : 1, 2, 19, 38, 361, 722
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
361 : 1, 19, 361
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,722,342,361,816, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
722:2x 19x 19
342:2x 3x 3x 19
361:19x 19
816:2x 2x 2x 2x 3x 17
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 19x 19x 19 = 493848
Therefore, the value for common factors is 493848.
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 = 10037828022912/(1x493848)
LCM = 10037828022912/493848
LCM = 20325744
Thus, we can understand that the LCM of 138,722,342,361,816 is 20325744.
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FAQs on LCM of 138, 722, 342, 361, 816
1. What is the LCM of 138, 722, 342, 361, 816?
Answer: LCM of 138, 722, 342, 361, 816 is 20325744.
2. How to calculate the LCM of 138, 722, 342, 361, 816?
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, 722, 342, 361, 816.
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}.