LCM of 112, 498, 428, 642, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 498, 428, 642, 268 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 112, 498, 428, 642, 268. So, keep reading to learn more.
Given numbers are 112,498,428,642,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,498,428,642,268 is 199929072.
Find LCM of 112,498,428,642,268 with Prime Factorization
| 2 | 112, 498, 428, 642, 268 |
| 2 | 56, 249, 214, 321, 134 |
| 3 | 28, 249, 107, 321, 67 |
| 107 | 28, 83, 107, 107, 67 |
| 28, 83, 1, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 28 x 83 x 1 x 1 x 67 = 199929072
Therefore, the lowest common multiple of 112,498,428,642,268 is 199929072.
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.
112 x 498 x 428 x 642 x 268 = 4107342855168
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
498 : 1, 2, 3, 6, 83, 166, 249, 498
428 : 1, 2, 4, 107, 214, 428
642 : 1, 2, 3, 6, 107, 214, 321, 642
268 : 1, 2, 4, 67, 134, 268
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,498,428,642,268, is 2.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
498:2x 3x 83
428:2x 2x 107
642:2x 3x 107
268:2x 2x 67
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 107 = 10272
Therefore, the value for common factors is 10272.
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 = 4107342855168/(2x10272)
LCM = 4107342855168/20544
LCM = 199929072
Thus, we can understand that the LCM of 112,498,428,642,268 is 199929072.
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FAQs on LCM of 112, 498, 428, 642, 268
1. What is the LCM of 112, 498, 428, 642, 268?
Answer: LCM of 112, 498, 428, 642, 268 is 199929072.
2. How to calculate the LCM of 112, 498, 428, 642, 268?
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 112, 498, 428, 642, 268.
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}.