LCM of 854, 473, 330, 317, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 473, 330, 317, 198 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 854, 473, 330, 317, 198. So, keep reading to learn more.
Given numbers are 854,473,330,317,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,473,330,317,198 is 5762232630.
Find LCM of 854,473,330,317,198 with Prime Factorization
| 2 | 854, 473, 330, 317, 198 |
| 3 | 427, 473, 165, 317, 99 |
| 11 | 427, 473, 55, 317, 33 |
| 427, 43, 5, 317, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 427 x 43 x 5 x 317 x 3 = 5762232630
Therefore, the lowest common multiple of 854,473,330,317,198 is 5762232630.
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.
854 x 473 x 330 x 317 x 198 = 8366761778760
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
473 : 1, 11, 43, 473
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
317 : 1, 317
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,473,330,317,198, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
473:11x 43
330:2x 3x 5x 11
317:317
198:2x 3x 3x 11
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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 8366761778760/(1x1452)
LCM = 8366761778760/1452
LCM = 5762232630
Thus, we can understand that the LCM of 854,473,330,317,198 is 5762232630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 854, 473, 330, 317, 198
1. What is the LCM of 854, 473, 330, 317, 198?
Answer: LCM of 854, 473, 330, 317, 198 is 5762232630.
2. How to calculate the LCM of 854, 473, 330, 317, 198?
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 854, 473, 330, 317, 198.
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}.