LCM of 869, 474, 180, 316, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 474, 180, 316, 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 869, 474, 180, 316, 189. So, keep reading to learn more.
Given numbers are 869,474,180,316,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,474,180,316,189 is 3284820.
Find LCM of 869,474,180,316,189 with Prime Factorization
| 2 | 869, 474, 180, 316, 189 |
| 2 | 869, 237, 90, 158, 189 |
| 3 | 869, 237, 45, 79, 189 |
| 3 | 869, 79, 15, 79, 63 |
| 79 | 869, 79, 5, 79, 21 |
| 11, 1, 5, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 79 x 11 x 1 x 5 x 1 x 21 = 3284820
Therefore, the lowest common multiple of 869,474,180,316,189 is 3284820.
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.
869 x 474 x 180 x 316 x 189 = 4428121309920
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.
869 : 1, 11, 79, 869
474 : 1, 2, 3, 6, 79, 158, 237, 474
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
316 : 1, 2, 4, 79, 158, 316
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 869,474,180,316,189, is 1.
Now, the common factors can be found like this.
869:11x 79
474:2x 3x 79
180:2x 2x 3x 3x 5
316:2x 2x 79
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 2x 3x 3x 3x 79x 79 = 1348056
Therefore, the value for common factors is 1348056.
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 = 4428121309920/(1x1348056)
LCM = 4428121309920/1348056
LCM = 3284820
Thus, we can understand that the LCM of 869,474,180,316,189 is 3284820.
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FAQs on LCM of 869, 474, 180, 316, 189
1. What is the LCM of 869, 474, 180, 316, 189?
Answer: LCM of 869, 474, 180, 316, 189 is 3284820.
2. How to calculate the LCM of 869, 474, 180, 316, 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 869, 474, 180, 316, 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}.