LCM of 482, 946, 239, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 946, 239, 717 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 482, 946, 239, 717. So, keep reading to learn more.
Given numbers are 482,946,239,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,946,239,717 is 163465962.
Find LCM of 482,946,239,717 with Prime Factorization
| 2 | 482, 946, 239, 717 |
| 239 | 241, 473, 239, 717 |
| 241, 473, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 241 x 473 x 1 x 3 = 163465962
Therefore, the lowest common multiple of 482,946,239,717 is 163465962.
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.
482 x 946 x 239 x 717 = 78136729836
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.
482 : 1, 2, 241, 482
946 : 1, 2, 11, 22, 43, 86, 473, 946
239 : 1, 239
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,946,239,717, is 1.
Now, the common factors can be found like this.
482:2x 241
946:2x 11x 43
239:239
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 239 = 478
Therefore, the value for common factors is 478.
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 = 78136729836/(1x478)
LCM = 78136729836/478
LCM = 163465962
Thus, we can understand that the LCM of 482,946,239,717 is 163465962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 482, 946, 239, 717
1. What is the LCM of 482, 946, 239, 717?
Answer: LCM of 482, 946, 239, 717 is 163465962.
2. How to calculate the LCM of 482, 946, 239, 717?
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 482, 946, 239, 717.
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}.