LCM of 129, 987, 595, 191
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 129, 987, 595, 191 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 129, 987, 595, 191. So, keep reading to learn more.
Given numbers are 129,987,595,191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 129,987,595,191 is 689029635.
Find LCM of 129,987,595,191 with Prime Factorization
| 3 | 129, 987, 595, 191 |
| 7 | 43, 329, 595, 191 |
| 43, 47, 85, 191 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 43 x 47 x 85 x 191 = 689029635
Therefore, the lowest common multiple of 129,987,595,191 is 689029635.
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.
129 x 987 x 595 x 191 = 14469622335
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.
129 : 1, 3, 43, 129
987 : 1, 3, 7, 21, 47, 141, 329, 987
595 : 1, 5, 7, 17, 35, 85, 119, 595
191 : 1, 191
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,987,595,191, is 1.
Now, the common factors can be found like this.
129:3x 43
987:3x 7x 47
595:5x 7x 17
191:191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 14469622335/(1x21)
LCM = 14469622335/21
LCM = 689029635
Thus, we can understand that the LCM of 129,987,595,191 is 689029635.
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FAQs on LCM of 129, 987, 595, 191
1. What is the LCM of 129, 987, 595, 191?
Answer: LCM of 129, 987, 595, 191 is 689029635.
2. How to calculate the LCM of 129, 987, 595, 191?
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 129, 987, 595, 191.
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}.