LCM of 136, 172, 129, 874, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 172, 129, 874, 917 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 136, 172, 129, 874, 917. So, keep reading to learn more.
Given numbers are 136,172,129,874,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,172,129,874,917 is 7030389576.
Find LCM of 136,172,129,874,917 with Prime Factorization
| 2 | 136, 172, 129, 874, 917 |
| 2 | 68, 86, 129, 437, 917 |
| 43 | 34, 43, 129, 437, 917 |
| 34, 1, 3, 437, 917 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 34 x 1 x 3 x 437 x 917 = 7030389576
Therefore, the lowest common multiple of 136,172,129,874,917 is 7030389576.
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.
136 x 172 x 129 x 874 x 917 = 2418454014144
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
172 : 1, 2, 4, 43, 86, 172
129 : 1, 3, 43, 129
874 : 1, 2, 19, 23, 38, 46, 437, 874
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,172,129,874,917, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
172:2x 2x 43
129:3x 43
874:2x 19x 23
917:7x 131
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 43 = 344
Therefore, the value for common factors is 344.
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 = 2418454014144/(1x344)
LCM = 2418454014144/344
LCM = 7030389576
Thus, we can understand that the LCM of 136,172,129,874,917 is 7030389576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 136, 172, 129, 874, 917
1. What is the LCM of 136, 172, 129, 874, 917?
Answer: LCM of 136, 172, 129, 874, 917 is 7030389576.
2. How to calculate the LCM of 136, 172, 129, 874, 917?
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 136, 172, 129, 874, 917.
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}.