LCM of 322, 483, 875, 874, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 483, 875, 874, 325 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 322, 483, 875, 874, 325. So, keep reading to learn more.
Given numbers are 322,483,875,874,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,483,875,874,325 is 29825250.
Find LCM of 322,483,875,874,325 with Prime Factorization
| 2 | 322, 483, 875, 874, 325 |
| 5 | 161, 483, 875, 437, 325 |
| 5 | 161, 483, 175, 437, 65 |
| 7 | 161, 483, 35, 437, 13 |
| 23 | 23, 69, 5, 437, 13 |
| 1, 3, 5, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 23 x 1 x 3 x 5 x 19 x 13 = 29825250
Therefore, the lowest common multiple of 322,483,875,874,325 is 29825250.
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.
322 x 483 x 875 x 874 x 325 = 38655015262500
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
483 : 1, 3, 7, 21, 23, 69, 161, 483
875 : 1, 5, 7, 25, 35, 125, 175, 875
874 : 1, 2, 19, 23, 38, 46, 437, 874
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,483,875,874,325, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
483:3x 7x 23
875:5x 5x 5x 7
874:2x 19x 23
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 7x 23x 23 = 1296050
Therefore, the value for common factors is 1296050.
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 = 38655015262500/(1x1296050)
LCM = 38655015262500/1296050
LCM = 29825250
Thus, we can understand that the LCM of 322,483,875,874,325 is 29825250.
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FAQs on LCM of 322, 483, 875, 874, 325
1. What is the LCM of 322, 483, 875, 874, 325?
Answer: LCM of 322, 483, 875, 874, 325 is 29825250.
2. How to calculate the LCM of 322, 483, 875, 874, 325?
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 322, 483, 875, 874, 325.
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}.