LCM of 243, 411, 513, 765, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 411, 513, 765, 689 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, 411, 513, 765, 689. So, keep reading to learn more.
Given numbers are 243,411,513,765,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,411,513,765,689 is 37044060885.
Find LCM of 243,411,513,765,689 with Prime Factorization
| 3 | 243, 411, 513, 765, 689 |
| 3 | 81, 137, 171, 255, 689 |
| 3 | 27, 137, 57, 85, 689 |
| 9, 137, 19, 85, 689 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 9 x 137 x 19 x 85 x 689 = 37044060885
Therefore, the lowest common multiple of 243,411,513,765,689 is 37044060885.
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 411 x 513 x 765 x 689 = 27005120385165
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
411 : 1, 3, 137, 411
513 : 1, 3, 9, 19, 27, 57, 171, 513
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,411,513,765,689, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
411:3x 137
513:3x 3x 3x 19
765:3x 3x 5x 17
689:13x 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 3x 3x 3 = 729
Therefore, the value for common factors is 729.
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 = 27005120385165/(1x729)
LCM = 27005120385165/729
LCM = 37044060885
Thus, we can understand that the LCM of 243,411,513,765,689 is 37044060885.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 243, 411, 513, 765, 689
1. What is the LCM of 243, 411, 513, 765, 689?
Answer: LCM of 243, 411, 513, 765, 689 is 37044060885.
2. How to calculate the LCM of 243, 411, 513, 765, 689?
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, 411, 513, 765, 689.
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}.