LCM of 214, 187, 612, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 187, 612, 591 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 214, 187, 612, 591. So, keep reading to learn more.
Given numbers are 214,187,612,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,187,612,591 is 141903828.
Find LCM of 214,187,612,591 with Prime Factorization
| 2 | 214, 187, 612, 591 |
| 3 | 107, 187, 306, 591 |
| 17 | 107, 187, 102, 197 |
| 107, 11, 6, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 107 x 11 x 6 x 197 = 141903828
Therefore, the lowest common multiple of 214,187,612,591 is 141903828.
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.
214 x 187 x 612 x 591 = 14474190456
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.
214 : 1, 2, 107, 214
187 : 1, 11, 17, 187
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,187,612,591, is 1.
Now, the common factors can be found like this.
214:2x 107
187:11x 17
612:2x 2x 3x 3x 17
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 14474190456/(1x102)
LCM = 14474190456/102
LCM = 141903828
Thus, we can understand that the LCM of 214,187,612,591 is 141903828.
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FAQs on LCM of 214, 187, 612, 591
1. What is the LCM of 214, 187, 612, 591?
Answer: LCM of 214, 187, 612, 591 is 141903828.
2. How to calculate the LCM of 214, 187, 612, 591?
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 214, 187, 612, 591.
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}.