LCM of 755, 205, 289, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 205, 289, 943 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 755, 205, 289, 943. So, keep reading to learn more.
Given numbers are 755,205,289,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,205,289,943 is 205757885.
Find LCM of 755,205,289,943 with Prime Factorization
| 5 | 755, 205, 289, 943 |
| 41 | 151, 41, 289, 943 |
| 151, 1, 289, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 41 x 151 x 1 x 289 x 23 = 205757885
Therefore, the lowest common multiple of 755,205,289,943 is 205757885.
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.
755 x 205 x 289 x 943 = 42180366425
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.
755 : 1, 5, 151, 755
205 : 1, 5, 41, 205
289 : 1, 17, 289
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,205,289,943, is 1.
Now, the common factors can be found like this.
755:5x 151
205:5x 41
289:17x 17
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 41 = 205
Therefore, the value for common factors is 205.
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 = 42180366425/(1x205)
LCM = 42180366425/205
LCM = 205757885
Thus, we can understand that the LCM of 755,205,289,943 is 205757885.
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FAQs on LCM of 755, 205, 289, 943
1. What is the LCM of 755, 205, 289, 943?
Answer: LCM of 755, 205, 289, 943 is 205757885.
2. How to calculate the LCM of 755, 205, 289, 943?
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 755, 205, 289, 943.
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}.