LCM of 874, 138, 212, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 138, 212, 189 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, 138, 212, 189. So, keep reading to learn more.
Given numbers are 874,138,212,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,138,212,189 is 17509716.
Find LCM of 874,138,212,189 with Prime Factorization
| 2 | 874, 138, 212, 189 |
| 3 | 437, 69, 106, 189 |
| 23 | 437, 23, 106, 63 |
| 19, 1, 106, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 19 x 1 x 106 x 63 = 17509716
Therefore, the lowest common multiple of 874,138,212,189 is 17509716.
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 138 x 212 x 189 = 4832681616
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
212 : 1, 2, 4, 53, 106, 212
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,138,212,189, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
138:2x 3x 23
212:2x 2x 53
189:3x 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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 4832681616/(1x276)
LCM = 4832681616/276
LCM = 17509716
Thus, we can understand that the LCM of 874,138,212,189 is 17509716.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 138, 212, 189
1. What is the LCM of 874, 138, 212, 189?
Answer: LCM of 874, 138, 212, 189 is 17509716.
2. How to calculate the LCM of 874, 138, 212, 189?
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, 138, 212, 189.
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}.