LCM of 259, 721, 132, 880, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 721, 132, 880, 964 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 259, 721, 132, 880, 964. So, keep reading to learn more.
Given numbers are 259,721,132,880,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,721,132,880,964 is 16972974480.
Find LCM of 259,721,132,880,964 with Prime Factorization
| 2 | 259, 721, 132, 880, 964 |
| 2 | 259, 721, 66, 440, 482 |
| 7 | 259, 721, 33, 220, 241 |
| 11 | 37, 103, 33, 220, 241 |
| 37, 103, 3, 20, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 37 x 103 x 3 x 20 x 241 = 16972974480
Therefore, the lowest common multiple of 259,721,132,880,964 is 16972974480.
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.
259 x 721 x 132 x 880 x 964 = 20910704559360
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.
259 : 1, 7, 37, 259
721 : 1, 7, 103, 721
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,721,132,880,964, is 1.
Now, the common factors can be found like this.
259:7x 37
721:7x 103
132:2x 2x 3x 11
880:2x 2x 2x 2x 5x 11
964:2x 2x 241
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 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 20910704559360/(1x1232)
LCM = 20910704559360/1232
LCM = 16972974480
Thus, we can understand that the LCM of 259,721,132,880,964 is 16972974480.
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FAQs on LCM of 259, 721, 132, 880, 964
1. What is the LCM of 259, 721, 132, 880, 964?
Answer: LCM of 259, 721, 132, 880, 964 is 16972974480.
2. How to calculate the LCM of 259, 721, 132, 880, 964?
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 259, 721, 132, 880, 964.
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}.