LCM of 728, 361, 741, 741, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 361, 741, 741, 983 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 728, 361, 741, 741, 983. So, keep reading to learn more.
Given numbers are 728,361,741,741,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,361,741,741,983 is 775020792.
Find LCM of 728,361,741,741,983 with Prime Factorization
| 3 | 728, 361, 741, 741, 983 |
| 13 | 728, 361, 247, 247, 983 |
| 19 | 56, 361, 19, 19, 983 |
| 56, 1, 1, 19, 983 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 56 x 1 x 1 x 19 x 983 = 775020792
Therefore, the lowest common multiple of 728,361,741,741,983 is 775020792.
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.
728 x 361 x 741 x 741 x 983 = 141849730497384
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
361 : 1, 19, 361
741 : 1, 3, 13, 19, 39, 57, 247, 741
741 : 1, 3, 13, 19, 39, 57, 247, 741
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,361,741,741,983, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
361:19x 19
741:3x 13x 19
741:3x 13x 19
983:983
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 13x 19x 19 = 183027
Therefore, the value for common factors is 183027.
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 = 141849730497384/(1x183027)
LCM = 141849730497384/183027
LCM = 775020792
Thus, we can understand that the LCM of 728,361,741,741,983 is 775020792.
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FAQs on LCM of 728, 361, 741, 741, 983
1. What is the LCM of 728, 361, 741, 741, 983?
Answer: LCM of 728, 361, 741, 741, 983 is 775020792.
2. How to calculate the LCM of 728, 361, 741, 741, 983?
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 728, 361, 741, 741, 983.
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}.