LCM of 268, 578, 122, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 578, 122, 204 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 268, 578, 122, 204. So, keep reading to learn more.
Given numbers are 268,578,122,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,578,122,204 is 14173716.
Find LCM of 268,578,122,204 with Prime Factorization
| 2 | 268, 578, 122, 204 |
| 2 | 134, 289, 61, 102 |
| 17 | 67, 289, 61, 51 |
| 67, 17, 61, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 67 x 17 x 61 x 3 = 14173716
Therefore, the lowest common multiple of 268,578,122,204 is 14173716.
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.
268 x 578 x 122 x 204 = 3855250752
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.
268 : 1, 2, 4, 67, 134, 268
578 : 1, 2, 17, 34, 289, 578
122 : 1, 2, 61, 122
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,578,122,204, is 2.
Now, the common factors can be found like this.
268:2x 2x 67
578:2x 17x 17
122:2x 61
204:2x 2x 3x 17
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 17 = 136
Therefore, the value for common factors is 136.
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 = 3855250752/(2x136)
LCM = 3855250752/272
LCM = 14173716
Thus, we can understand that the LCM of 268,578,122,204 is 14173716.
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FAQs on LCM of 268, 578, 122, 204
1. What is the LCM of 268, 578, 122, 204?
Answer: LCM of 268, 578, 122, 204 is 14173716.
2. How to calculate the LCM of 268, 578, 122, 204?
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 268, 578, 122, 204.
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}.