LCM of 484, 459, 275, 770, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 459, 275, 770, 961 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 484, 459, 275, 770, 961. So, keep reading to learn more.
Given numbers are 484,459,275,770,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,459,275,770,961 is 37361085300.
Find LCM of 484,459,275,770,961 with Prime Factorization
| 2 | 484, 459, 275, 770, 961 |
| 5 | 242, 459, 275, 385, 961 |
| 11 | 242, 459, 55, 77, 961 |
| 22, 459, 5, 7, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 22 x 459 x 5 x 7 x 961 = 37361085300
Therefore, the lowest common multiple of 484,459,275,770,961 is 37361085300.
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.
484 x 459 x 275 x 770 x 961 = 45206913213000
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
459 : 1, 3, 9, 17, 27, 51, 153, 459
275 : 1, 5, 11, 25, 55, 275
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,459,275,770,961, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
459:3x 3x 3x 17
275:5x 5x 11
770:2x 5x 7x 11
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 45206913213000/(1x1210)
LCM = 45206913213000/1210
LCM = 37361085300
Thus, we can understand that the LCM of 484,459,275,770,961 is 37361085300.
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FAQs on LCM of 484, 459, 275, 770, 961
1. What is the LCM of 484, 459, 275, 770, 961?
Answer: LCM of 484, 459, 275, 770, 961 is 37361085300.
2. How to calculate the LCM of 484, 459, 275, 770, 961?
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 484, 459, 275, 770, 961.
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}.