LCM of 243, 742, 963, 105, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 742, 963, 105, 583 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 243, 742, 963, 105, 583. So, keep reading to learn more.
Given numbers are 243,742,963,105,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,742,963,105,583 is 1061100810.
Find LCM of 243,742,963,105,583 with Prime Factorization
| 3 | 243, 742, 963, 105, 583 |
| 3 | 81, 742, 321, 35, 583 |
| 7 | 27, 742, 107, 35, 583 |
| 53 | 27, 106, 107, 5, 583 |
| 27, 2, 107, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 53 x 27 x 2 x 107 x 5 x 11 = 1061100810
Therefore, the lowest common multiple of 243,742,963,105,583 is 1061100810.
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.
243 x 742 x 963 x 105 x 583 = 10629046813770
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.
243 : 1, 3, 9, 27, 81, 243
742 : 1, 2, 7, 14, 53, 106, 371, 742
963 : 1, 3, 9, 107, 321, 963
105 : 1, 3, 5, 7, 15, 21, 35, 105
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,742,963,105,583, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
742:2x 7x 53
963:3x 3x 107
105:3x 5x 7
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 53 = 10017
Therefore, the value for common factors is 10017.
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 = 10629046813770/(1x10017)
LCM = 10629046813770/10017
LCM = 1061100810
Thus, we can understand that the LCM of 243,742,963,105,583 is 1061100810.
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FAQs on LCM of 243, 742, 963, 105, 583
1. What is the LCM of 243, 742, 963, 105, 583?
Answer: LCM of 243, 742, 963, 105, 583 is 1061100810.
2. How to calculate the LCM of 243, 742, 963, 105, 583?
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 243, 742, 963, 105, 583.
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}.