LCM of 341, 955, 200, 400, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 955, 200, 400, 716 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 341, 955, 200, 400, 716. So, keep reading to learn more.
Given numbers are 341,955,200,400,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,955,200,400,716 is 4663379600.
Find LCM of 341,955,200,400,716 with Prime Factorization
| 2 | 341, 955, 200, 400, 716 |
| 2 | 341, 955, 100, 200, 358 |
| 2 | 341, 955, 50, 100, 179 |
| 5 | 341, 955, 25, 50, 179 |
| 5 | 341, 191, 5, 10, 179 |
| 341, 191, 1, 2, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 341 x 191 x 1 x 2 x 179 = 4663379600
Therefore, the lowest common multiple of 341,955,200,400,716 is 4663379600.
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.
341 x 955 x 200 x 400 x 716 = 18653518400000
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.
341 : 1, 11, 31, 341
955 : 1, 5, 191, 955
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,955,200,400,716, is 1.
Now, the common factors can be found like this.
341:11x 31
955:5x 191
200:2x 2x 2x 5x 5
400:2x 2x 2x 2x 5x 5
716:2x 2x 179
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 5x 5x 5 = 4000
Therefore, the value for common factors is 4000.
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 = 18653518400000/(1x4000)
LCM = 18653518400000/4000
LCM = 4663379600
Thus, we can understand that the LCM of 341,955,200,400,716 is 4663379600.
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FAQs on LCM of 341, 955, 200, 400, 716
1. What is the LCM of 341, 955, 200, 400, 716?
Answer: LCM of 341, 955, 200, 400, 716 is 4663379600.
2. How to calculate the LCM of 341, 955, 200, 400, 716?
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 341, 955, 200, 400, 716.
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}.