LCM of 924, 481, 361, 441, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 481, 361, 441, 703 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 924, 481, 361, 441, 703. So, keep reading to learn more.
Given numbers are 924,481,361,441,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,481,361,441,703 is 3369329964.
Find LCM of 924,481,361,441,703 with Prime Factorization
| 3 | 924, 481, 361, 441, 703 |
| 7 | 308, 481, 361, 147, 703 |
| 19 | 44, 481, 361, 21, 703 |
| 37 | 44, 481, 19, 21, 37 |
| 44, 13, 19, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 37 x 44 x 13 x 19 x 21 x 1 = 3369329964
Therefore, the lowest common multiple of 924,481,361,441,703 is 3369329964.
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.
924 x 481 x 361 x 441 x 703 = 49741418258532
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
481 : 1, 13, 37, 481
361 : 1, 19, 361
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,481,361,441,703, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
481:13x 37
361:19x 19
441:3x 3x 7x 7
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19x 37 = 14763
Therefore, the value for common factors is 14763.
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 = 49741418258532/(1x14763)
LCM = 49741418258532/14763
LCM = 3369329964
Thus, we can understand that the LCM of 924,481,361,441,703 is 3369329964.
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FAQs on LCM of 924, 481, 361, 441, 703
1. What is the LCM of 924, 481, 361, 441, 703?
Answer: LCM of 924, 481, 361, 441, 703 is 3369329964.
2. How to calculate the LCM of 924, 481, 361, 441, 703?
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 924, 481, 361, 441, 703.
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}.