LCM of 484, 910, 561, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 910, 561, 760 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, 910, 561, 760. So, keep reading to learn more.
Given numbers are 484,910,561,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,910,561,760 is 426786360.
Find LCM of 484,910,561,760 with Prime Factorization
| 2 | 484, 910, 561, 760 |
| 2 | 242, 455, 561, 380 |
| 5 | 121, 455, 561, 190 |
| 11 | 121, 91, 561, 38 |
| 11, 91, 51, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 91 x 51 x 38 = 426786360
Therefore, the lowest common multiple of 484,910,561,760 is 426786360.
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 910 x 561 x 760 = 187785998400
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
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
561 : 1, 3, 11, 17, 33, 51, 187, 561
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,910,561,760, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
910:2x 5x 7x 13
561:3x 11x 17
760:2x 2x 2x 5x 19
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 187785998400/(1x440)
LCM = 187785998400/440
LCM = 426786360
Thus, we can understand that the LCM of 484,910,561,760 is 426786360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 910, 561, 760
1. What is the LCM of 484, 910, 561, 760?
Answer: LCM of 484, 910, 561, 760 is 426786360.
2. How to calculate the LCM of 484, 910, 561, 760?
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, 910, 561, 760.
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}.