LCM of 111, 714, 438, 560, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 714, 438, 560, 484 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 111, 714, 438, 560, 484. So, keep reading to learn more.
Given numbers are 111,714,438,560,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,714,438,560,484 is 9334007760.
Find LCM of 111,714,438,560,484 with Prime Factorization
| 2 | 111, 714, 438, 560, 484 |
| 2 | 111, 357, 219, 280, 242 |
| 3 | 111, 357, 219, 140, 121 |
| 7 | 37, 119, 73, 140, 121 |
| 37, 17, 73, 20, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 37 x 17 x 73 x 20 x 121 = 9334007760
Therefore, the lowest common multiple of 111,714,438,560,484 is 9334007760.
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.
111 x 714 x 438 x 560 x 484 = 9408679822080
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.
111 : 1, 3, 37, 111
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
438 : 1, 2, 3, 6, 73, 146, 219, 438
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,714,438,560,484, is 1.
Now, the common factors can be found like this.
111:3x 37
714:2x 3x 7x 17
438:2x 3x 73
560:2x 2x 2x 2x 5x 7
484:2x 2x 11x 11
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 9408679822080/(1x1008)
LCM = 9408679822080/1008
LCM = 9334007760
Thus, we can understand that the LCM of 111,714,438,560,484 is 9334007760.
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FAQs on LCM of 111, 714, 438, 560, 484
1. What is the LCM of 111, 714, 438, 560, 484?
Answer: LCM of 111, 714, 438, 560, 484 is 9334007760.
2. How to calculate the LCM of 111, 714, 438, 560, 484?
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 111, 714, 438, 560, 484.
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}.