LCM of 777, 195, 411, 185, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 195, 411, 185, 255 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 777, 195, 411, 185, 255. So, keep reading to learn more.
Given numbers are 777,195,411,185,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,195,411,185,255 is 117626145.
Find LCM of 777,195,411,185,255 with Prime Factorization
| 3 | 777, 195, 411, 185, 255 |
| 5 | 259, 65, 137, 185, 85 |
| 37 | 259, 13, 137, 37, 17 |
| 7, 13, 137, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 37 x 7 x 13 x 137 x 1 x 17 = 117626145
Therefore, the lowest common multiple of 777,195,411,185,255 is 117626145.
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.
777 x 195 x 411 x 185 x 255 = 2937712971375
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
195 : 1, 3, 5, 13, 15, 39, 65, 195
411 : 1, 3, 137, 411
185 : 1, 5, 37, 185
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,195,411,185,255, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
195:3x 5x 13
411:3x 137
185:5x 37
255:3x 5x 17
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 5x 5x 37 = 24975
Therefore, the value for common factors is 24975.
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 = 2937712971375/(1x24975)
LCM = 2937712971375/24975
LCM = 117626145
Thus, we can understand that the LCM of 777,195,411,185,255 is 117626145.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 777, 195, 411, 185, 255
1. What is the LCM of 777, 195, 411, 185, 255?
Answer: LCM of 777, 195, 411, 185, 255 is 117626145.
2. How to calculate the LCM of 777, 195, 411, 185, 255?
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 777, 195, 411, 185, 255.
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}.