LCM of 355, 245, 167, 838, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 245, 167, 838, 235 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 355, 245, 167, 838, 235. So, keep reading to learn more.
Given numbers are 355,245,167,838,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,245,167,838,235 is 114414951490.
Find LCM of 355,245,167,838,235 with Prime Factorization
| 5 | 355, 245, 167, 838, 235 |
| 71, 49, 167, 838, 47 |
Multiply the prime numbers at the bottom and the left side.
5 x 71 x 49 x 167 x 838 x 47 = 114414951490
Therefore, the lowest common multiple of 355,245,167,838,235 is 114414951490.
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.
355 x 245 x 167 x 838 x 235 = 2860373787250
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.
355 : 1, 5, 71, 355
245 : 1, 5, 7, 35, 49, 245
167 : 1, 167
838 : 1, 2, 419, 838
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,245,167,838,235, is 1.
Now, the common factors can be found like this.
355:5x 71
245:5x 7x 7
167:167
838:2x 419
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 2860373787250/(1x25)
LCM = 2860373787250/25
LCM = 114414951490
Thus, we can understand that the LCM of 355,245,167,838,235 is 114414951490.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 355, 245, 167, 838, 235
1. What is the LCM of 355, 245, 167, 838, 235?
Answer: LCM of 355, 245, 167, 838, 235 is 114414951490.
2. How to calculate the LCM of 355, 245, 167, 838, 235?
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 355, 245, 167, 838, 235.
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}.