LCM of 361, 494, 611, 21
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 494, 611, 21 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 361, 494, 611, 21. So, keep reading to learn more.
Given numbers are 361,494,611,21
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,494,611,21 is 9263982.
Find LCM of 361,494,611,21 with Prime Factorization
| 13 | 361, 494, 611, 21 |
| 19 | 361, 38, 47, 21 |
| 19, 2, 47, 21 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 19 x 2 x 47 x 21 = 9263982
Therefore, the lowest common multiple of 361,494,611,21 is 9263982.
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.
361 x 494 x 611 x 21 = 2288203554
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.
361 : 1, 19, 361
494 : 1, 2, 13, 19, 26, 38, 247, 494
611 : 1, 13, 47, 611
21 : 1, 3, 7, 21
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,494,611,21, is 1.
Now, the common factors can be found like this.
361:19x 19
494:2x 13x 19
611:13x 47
21:3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 2288203554/(1x247)
LCM = 2288203554/247
LCM = 9263982
Thus, we can understand that the LCM of 361,494,611,21 is 9263982.
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FAQs on LCM of 361, 494, 611, 21
1. What is the LCM of 361, 494, 611, 21?
Answer: LCM of 361, 494, 611, 21 is 9263982.
2. How to calculate the LCM of 361, 494, 611, 21?
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 361, 494, 611, 21.
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}.