LCM of 231, 935, 929, 609, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 935, 929, 609, 119 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 231, 935, 929, 609, 119. So, keep reading to learn more.
Given numbers are 231,935,929,609,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,935,929,609,119 is 528986535.
Find LCM of 231,935,929,609,119 with Prime Factorization
| 3 | 231, 935, 929, 609, 119 |
| 7 | 77, 935, 929, 203, 119 |
| 11 | 11, 935, 929, 29, 17 |
| 17 | 1, 85, 929, 29, 17 |
| 1, 5, 929, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 17 x 1 x 5 x 929 x 29 x 1 = 528986535
Therefore, the lowest common multiple of 231,935,929,609,119 is 528986535.
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.
231 x 935 x 929 x 609 x 119 = 14541310860615
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
935 : 1, 5, 11, 17, 55, 85, 187, 935
929 : 1, 929
609 : 1, 3, 7, 21, 29, 87, 203, 609
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,935,929,609,119, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
935:5x 11x 17
929:929
609:3x 7x 29
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 11x 17 = 27489
Therefore, the value for common factors is 27489.
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 = 14541310860615/(1x27489)
LCM = 14541310860615/27489
LCM = 528986535
Thus, we can understand that the LCM of 231,935,929,609,119 is 528986535.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 231, 935, 929, 609, 119
1. What is the LCM of 231, 935, 929, 609, 119?
Answer: LCM of 231, 935, 929, 609, 119 is 528986535.
2. How to calculate the LCM of 231, 935, 929, 609, 119?
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 231, 935, 929, 609, 119.
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}.