LCM of 243, 309, 610, 143, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 309, 610, 143, 637 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, 309, 610, 143, 637. So, keep reading to learn more.
Given numbers are 243,309,610,143,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,309,610,143,637 is 106980703830.
Find LCM of 243,309,610,143,637 with Prime Factorization
| 3 | 243, 309, 610, 143, 637 |
| 13 | 81, 103, 610, 143, 637 |
| 81, 103, 610, 11, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 81 x 103 x 610 x 11 x 49 = 106980703830
Therefore, the lowest common multiple of 243,309,610,143,637 is 106980703830.
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 309 x 610 x 143 x 637 = 4172247449370
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
309 : 1, 3, 103, 309
610 : 1, 2, 5, 10, 61, 122, 305, 610
143 : 1, 11, 13, 143
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,309,610,143,637, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
309:3x 103
610:2x 5x 61
143:11x 13
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 4172247449370/(1x39)
LCM = 4172247449370/39
LCM = 106980703830
Thus, we can understand that the LCM of 243,309,610,143,637 is 106980703830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 243, 309, 610, 143, 637
1. What is the LCM of 243, 309, 610, 143, 637?
Answer: LCM of 243, 309, 610, 143, 637 is 106980703830.
2. How to calculate the LCM of 243, 309, 610, 143, 637?
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, 309, 610, 143, 637.
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}.