LCM of 289, 655, 917, 765, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 655, 917, 765, 421 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 289, 655, 917, 765, 421. So, keep reading to learn more.
Given numbers are 289,655,917,765,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,655,917,765,421 is 5020671285.
Find LCM of 289,655,917,765,421 with Prime Factorization
| 5 | 289, 655, 917, 765, 421 |
| 17 | 289, 131, 917, 153, 421 |
| 131 | 17, 131, 917, 9, 421 |
| 17, 1, 7, 9, 421 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 131 x 17 x 1 x 7 x 9 x 421 = 5020671285
Therefore, the lowest common multiple of 289,655,917,765,421 is 5020671285.
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.
289 x 655 x 917 x 765 x 421 = 55905174758475
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.
289 : 1, 17, 289
655 : 1, 5, 131, 655
917 : 1, 7, 131, 917
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,655,917,765,421, is 1.
Now, the common factors can be found like this.
289:17x 17
655:5x 131
917:7x 131
765:3x 3x 5x 17
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 131 = 11135
Therefore, the value for common factors is 11135.
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 = 55905174758475/(1x11135)
LCM = 55905174758475/11135
LCM = 5020671285
Thus, we can understand that the LCM of 289,655,917,765,421 is 5020671285.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 655, 917, 765, 421
1. What is the LCM of 289, 655, 917, 765, 421?
Answer: LCM of 289, 655, 917, 765, 421 is 5020671285.
2. How to calculate the LCM of 289, 655, 917, 765, 421?
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 289, 655, 917, 765, 421.
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}.