LCM of 358, 629, 255, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 629, 255, 246 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 358, 629, 255, 246. So, keep reading to learn more.
Given numbers are 358,629,255,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,629,255,246 is 138486930.
Find LCM of 358,629,255,246 with Prime Factorization
| 2 | 358, 629, 255, 246 |
| 3 | 179, 629, 255, 123 |
| 17 | 179, 629, 85, 41 |
| 179, 37, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 179 x 37 x 5 x 41 = 138486930
Therefore, the lowest common multiple of 358,629,255,246 is 138486930.
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.
358 x 629 x 255 x 246 = 14125666860
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.
358 : 1, 2, 179, 358
629 : 1, 17, 37, 629
255 : 1, 3, 5, 15, 17, 51, 85, 255
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,629,255,246, is 1.
Now, the common factors can be found like this.
358:2x 179
629:17x 37
255:3x 5x 17
246:2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 14125666860/(1x102)
LCM = 14125666860/102
LCM = 138486930
Thus, we can understand that the LCM of 358,629,255,246 is 138486930.
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FAQs on LCM of 358, 629, 255, 246
1. What is the LCM of 358, 629, 255, 246?
Answer: LCM of 358, 629, 255, 246 is 138486930.
2. How to calculate the LCM of 358, 629, 255, 246?
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 358, 629, 255, 246.
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}.