LCM of 139, 323, 334, 696, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 323, 334, 696, 126 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 139, 323, 334, 696, 126. So, keep reading to learn more.
Given numbers are 139,323,334,696,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,323,334,696,126 is 109587830184.
Find LCM of 139,323,334,696,126 with Prime Factorization
| 2 | 139, 323, 334, 696, 126 |
| 3 | 139, 323, 167, 348, 63 |
| 139, 323, 167, 116, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 323 x 167 x 116 x 21 = 109587830184
Therefore, the lowest common multiple of 139,323,334,696,126 is 109587830184.
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.
139 x 323 x 334 x 696 x 126 = 1315053962208
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.
139 : 1, 139
323 : 1, 17, 19, 323
334 : 1, 2, 167, 334
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,323,334,696,126, is 1.
Now, the common factors can be found like this.
139:139
323:17x 19
334:2x 167
696:2x 2x 2x 3x 29
126:2x 3x 3x 7
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 = 1315053962208/(1x12)
LCM = 1315053962208/12
LCM = 109587830184
Thus, we can understand that the LCM of 139,323,334,696,126 is 109587830184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 139, 323, 334, 696, 126
1. What is the LCM of 139, 323, 334, 696, 126?
Answer: LCM of 139, 323, 334, 696, 126 is 109587830184.
2. How to calculate the LCM of 139, 323, 334, 696, 126?
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 139, 323, 334, 696, 126.
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}.