LCM of 115, 112, 275, 616, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 112, 275, 616, 428 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 115, 112, 275, 616, 428. So, keep reading to learn more.
Given numbers are 115,112,275,616,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,112,275,616,428 is 75798800.
Find LCM of 115,112,275,616,428 with Prime Factorization
| 2 | 115, 112, 275, 616, 428 |
| 2 | 115, 56, 275, 308, 214 |
| 2 | 115, 28, 275, 154, 107 |
| 5 | 115, 14, 275, 77, 107 |
| 7 | 23, 14, 55, 77, 107 |
| 11 | 23, 2, 55, 11, 107 |
| 23, 2, 5, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 11 x 23 x 2 x 5 x 1 x 107 = 75798800
Therefore, the lowest common multiple of 115,112,275,616,428 is 75798800.
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.
115 x 112 x 275 x 616 x 428 = 933841216000
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.
115 : 1, 5, 23, 115
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
275 : 1, 5, 11, 25, 55, 275
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,112,275,616,428, is 1.
Now, the common factors can be found like this.
115:5x 23
112:2x 2x 2x 2x 7
275:5x 5x 11
616:2x 2x 2x 7x 11
428:2x 2x 107
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 5x 7x 11 = 12320
Therefore, the value for common factors is 12320.
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 = 933841216000/(1x12320)
LCM = 933841216000/12320
LCM = 75798800
Thus, we can understand that the LCM of 115,112,275,616,428 is 75798800.
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FAQs on LCM of 115, 112, 275, 616, 428
1. What is the LCM of 115, 112, 275, 616, 428?
Answer: LCM of 115, 112, 275, 616, 428 is 75798800.
2. How to calculate the LCM of 115, 112, 275, 616, 428?
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 115, 112, 275, 616, 428.
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}.