LCM of 441, 946, 588, 983, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 946, 588, 983, 394 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 441, 946, 588, 983, 394. So, keep reading to learn more.
Given numbers are 441,946,588,983,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,946,588,983,394 is 161576972172.
Find LCM of 441,946,588,983,394 with Prime Factorization
| 2 | 441, 946, 588, 983, 394 |
| 3 | 441, 473, 294, 983, 197 |
| 7 | 147, 473, 98, 983, 197 |
| 7 | 21, 473, 14, 983, 197 |
| 3, 473, 2, 983, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 3 x 473 x 2 x 983 x 197 = 161576972172
Therefore, the lowest common multiple of 441,946,588,983,394 is 161576972172.
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.
441 x 946 x 588 x 983 x 394 = 95007259637136
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
946 : 1, 2, 11, 22, 43, 86, 473, 946
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
983 : 1, 983
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,946,588,983,394, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
946:2x 11x 43
588:2x 2x 3x 7x 7
983:983
394:2x 197
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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 95007259637136/(1x588)
LCM = 95007259637136/588
LCM = 161576972172
Thus, we can understand that the LCM of 441,946,588,983,394 is 161576972172.
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FAQs on LCM of 441, 946, 588, 983, 394
1. What is the LCM of 441, 946, 588, 983, 394?
Answer: LCM of 441, 946, 588, 983, 394 is 161576972172.
2. How to calculate the LCM of 441, 946, 588, 983, 394?
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 441, 946, 588, 983, 394.
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}.