LCM of 459, 175, 946, 722, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 175, 946, 722, 180 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 459, 175, 946, 722, 180. So, keep reading to learn more.
Given numbers are 459,175,946,722,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,175,946,722,180 is 54862938900.
Find LCM of 459,175,946,722,180 with Prime Factorization
| 2 | 459, 175, 946, 722, 180 |
| 3 | 459, 175, 473, 361, 90 |
| 3 | 153, 175, 473, 361, 30 |
| 5 | 51, 175, 473, 361, 10 |
| 51, 35, 473, 361, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 51 x 35 x 473 x 361 x 2 = 54862938900
Therefore, the lowest common multiple of 459,175,946,722,180 is 54862938900.
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.
459 x 175 x 946 x 722 x 180 = 9875329002000
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
175 : 1, 5, 7, 25, 35, 175
946 : 1, 2, 11, 22, 43, 86, 473, 946
722 : 1, 2, 19, 38, 361, 722
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,175,946,722,180, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
175:5x 5x 7
946:2x 11x 43
722:2x 19x 19
180:2x 2x 3x 3x 5
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 9875329002000/(1x180)
LCM = 9875329002000/180
LCM = 54862938900
Thus, we can understand that the LCM of 459,175,946,722,180 is 54862938900.
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FAQs on LCM of 459, 175, 946, 722, 180
1. What is the LCM of 459, 175, 946, 722, 180?
Answer: LCM of 459, 175, 946, 722, 180 is 54862938900.
2. How to calculate the LCM of 459, 175, 946, 722, 180?
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 459, 175, 946, 722, 180.
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}.