LCM of 289, 635, 785, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 635, 785, 341 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, 635, 785, 341. So, keep reading to learn more.
Given numbers are 289,635,785,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,635,785,341 is 9824842555.
Find LCM of 289,635,785,341 with Prime Factorization
| 5 | 289, 635, 785, 341 |
| 289, 127, 157, 341 |
Multiply the prime numbers at the bottom and the left side.
5 x 289 x 127 x 157 x 341 = 9824842555
Therefore, the lowest common multiple of 289,635,785,341 is 9824842555.
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 635 x 785 x 341 = 49124212775
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
635 : 1, 5, 127, 635
785 : 1, 5, 157, 785
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,635,785,341, is 1.
Now, the common factors can be found like this.
289:17x 17
635:5x 127
785:5x 157
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 49124212775/(1x5)
LCM = 49124212775/5
LCM = 9824842555
Thus, we can understand that the LCM of 289,635,785,341 is 9824842555.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 289, 635, 785, 341
1. What is the LCM of 289, 635, 785, 341?
Answer: LCM of 289, 635, 785, 341 is 9824842555.
2. How to calculate the LCM of 289, 635, 785, 341?
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, 635, 785, 341.
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}.