LCM of 128, 347, 694, 498, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 347, 694, 498, 162 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 128, 347, 694, 498, 162. So, keep reading to learn more.
Given numbers are 128,347,694,498,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,347,694,498,162 is 298608768.
Find LCM of 128,347,694,498,162 with Prime Factorization
| 2 | 128, 347, 694, 498, 162 |
| 3 | 64, 347, 347, 249, 81 |
| 347 | 64, 347, 347, 83, 27 |
| 64, 1, 1, 83, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 347 x 64 x 1 x 1 x 83 x 27 = 298608768
Therefore, the lowest common multiple of 128,347,694,498,162 is 298608768.
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.
128 x 347 x 694 x 498 x 162 = 2486813819904
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
347 : 1, 347
694 : 1, 2, 347, 694
498 : 1, 2, 3, 6, 83, 166, 249, 498
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,347,694,498,162, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
347:347
694:2x 347
498:2x 3x 83
162:2x 3x 3x 3x 3
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 3x 347 = 8328
Therefore, the value for common factors is 8328.
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 = 2486813819904/(1x8328)
LCM = 2486813819904/8328
LCM = 298608768
Thus, we can understand that the LCM of 128,347,694,498,162 is 298608768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 128, 347, 694, 498, 162
1. What is the LCM of 128, 347, 694, 498, 162?
Answer: LCM of 128, 347, 694, 498, 162 is 298608768.
2. How to calculate the LCM of 128, 347, 694, 498, 162?
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 128, 347, 694, 498, 162.
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}.