LCM of 194, 145, 200, 899, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 145, 200, 899, 496 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 194, 145, 200, 899, 496. So, keep reading to learn more.
Given numbers are 194,145,200,899,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,145,200,899,496 is 34881200.
Find LCM of 194,145,200,899,496 with Prime Factorization
| 2 | 194, 145, 200, 899, 496 |
| 2 | 97, 145, 100, 899, 248 |
| 2 | 97, 145, 50, 899, 124 |
| 5 | 97, 145, 25, 899, 62 |
| 29 | 97, 29, 5, 899, 62 |
| 31 | 97, 1, 5, 31, 62 |
| 97, 1, 5, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 29 x 31 x 97 x 1 x 5 x 1 x 2 = 34881200
Therefore, the lowest common multiple of 194,145,200,899,496 is 34881200.
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.
194 x 145 x 200 x 899 x 496 = 2508655904000
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.
194 : 1, 2, 97, 194
145 : 1, 5, 29, 145
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
899 : 1, 29, 31, 899
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,145,200,899,496, is 1.
Now, the common factors can be found like this.
194:2x 97
145:5x 29
200:2x 2x 2x 5x 5
899:29x 31
496:2x 2x 2x 2x 31
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 5x 29x 31 = 71920
Therefore, the value for common factors is 71920.
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 = 2508655904000/(1x71920)
LCM = 2508655904000/71920
LCM = 34881200
Thus, we can understand that the LCM of 194,145,200,899,496 is 34881200.
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FAQs on LCM of 194, 145, 200, 899, 496
1. What is the LCM of 194, 145, 200, 899, 496?
Answer: LCM of 194, 145, 200, 899, 496 is 34881200.
2. How to calculate the LCM of 194, 145, 200, 899, 496?
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 194, 145, 200, 899, 496.
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}.