LCM of 495, 200, 831, 402, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 200, 831, 402, 194 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 495, 200, 831, 402, 194. So, keep reading to learn more.
Given numbers are 495,200,831,402,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,200,831,402,194 is 35644415400.
Find LCM of 495,200,831,402,194 with Prime Factorization
| 2 | 495, 200, 831, 402, 194 |
| 3 | 495, 100, 831, 201, 97 |
| 5 | 165, 100, 277, 67, 97 |
| 33, 20, 277, 67, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 33 x 20 x 277 x 67 x 97 = 35644415400
Therefore, the lowest common multiple of 495,200,831,402,194 is 35644415400.
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.
495 x 200 x 831 x 402 x 194 = 6415994772000
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
831 : 1, 3, 277, 831
402 : 1, 2, 3, 6, 67, 134, 201, 402
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,200,831,402,194, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
200:2x 2x 2x 5x 5
831:3x 277
402:2x 3x 67
194:2x 97
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 6415994772000/(1x180)
LCM = 6415994772000/180
LCM = 35644415400
Thus, we can understand that the LCM of 495,200,831,402,194 is 35644415400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 495, 200, 831, 402, 194
1. What is the LCM of 495, 200, 831, 402, 194?
Answer: LCM of 495, 200, 831, 402, 194 is 35644415400.
2. How to calculate the LCM of 495, 200, 831, 402, 194?
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 495, 200, 831, 402, 194.
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}.