LCM of 874, 172, 607, 684, 401
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 172, 607, 684, 401 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 874, 172, 607, 684, 401. So, keep reading to learn more.
Given numbers are 874,172,607,684,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,172,607,684,401 is 164658993732.
Find LCM of 874,172,607,684,401 with Prime Factorization
| 2 | 874, 172, 607, 684, 401 |
| 2 | 437, 86, 607, 342, 401 |
| 19 | 437, 43, 607, 171, 401 |
| 23, 43, 607, 9, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 43 x 607 x 9 x 401 = 164658993732
Therefore, the lowest common multiple of 874,172,607,684,401 is 164658993732.
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.
874 x 172 x 607 x 684 x 401 = 25028167047264
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
172 : 1, 2, 4, 43, 86, 172
607 : 1, 607
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,172,607,684,401, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
172:2x 2x 43
607:607
684:2x 2x 3x 3x 19
401:401
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 19 = 152
Therefore, the value for common factors is 152.
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 = 25028167047264/(1x152)
LCM = 25028167047264/152
LCM = 164658993732
Thus, we can understand that the LCM of 874,172,607,684,401 is 164658993732.
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FAQs on LCM of 874, 172, 607, 684, 401
1. What is the LCM of 874, 172, 607, 684, 401?
Answer: LCM of 874, 172, 607, 684, 401 is 164658993732.
2. How to calculate the LCM of 874, 172, 607, 684, 401?
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 874, 172, 607, 684, 401.
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}.