LCM of 484, 109, 312, 741, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 109, 312, 741, 488 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, 109, 312, 741, 488. So, keep reading to learn more.
Given numbers are 484,109,312,741,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,109,312,741,488 is 4769247912.
Find LCM of 484,109,312,741,488 with Prime Factorization
| 2 | 484, 109, 312, 741, 488 |
| 2 | 242, 109, 156, 741, 244 |
| 2 | 121, 109, 78, 741, 122 |
| 3 | 121, 109, 39, 741, 61 |
| 13 | 121, 109, 13, 247, 61 |
| 121, 109, 1, 19, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 121 x 109 x 1 x 19 x 61 = 4769247912
Therefore, the lowest common multiple of 484,109,312,741,488 is 4769247912.
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 109 x 312 x 741 x 488 = 5952021394176
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
109 : 1, 109
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
741 : 1, 3, 13, 19, 39, 57, 247, 741
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,109,312,741,488, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
109:109
312:2x 2x 2x 3x 13
741:3x 13x 19
488:2x 2x 2x 61
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 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 5952021394176/(1x1248)
LCM = 5952021394176/1248
LCM = 4769247912
Thus, we can understand that the LCM of 484,109,312,741,488 is 4769247912.
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FAQs on LCM of 484, 109, 312, 741, 488
1. What is the LCM of 484, 109, 312, 741, 488?
Answer: LCM of 484, 109, 312, 741, 488 is 4769247912.
2. How to calculate the LCM of 484, 109, 312, 741, 488?
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, 109, 312, 741, 488.
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}.