LCM of 251, 633, 261, 255, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 633, 261, 255, 342 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 251, 633, 261, 255, 342. So, keep reading to learn more.
Given numbers are 251,633,261,255,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,633,261,255,342 is 44647711830.
Find LCM of 251,633,261,255,342 with Prime Factorization
| 3 | 251, 633, 261, 255, 342 |
| 3 | 251, 211, 87, 85, 114 |
| 251, 211, 29, 85, 38 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 251 x 211 x 29 x 85 x 38 = 44647711830
Therefore, the lowest common multiple of 251,633,261,255,342 is 44647711830.
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.
251 x 633 x 261 x 255 x 342 = 3616464658230
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.
251 : 1, 251
633 : 1, 3, 211, 633
261 : 1, 3, 9, 29, 87, 261
255 : 1, 3, 5, 15, 17, 51, 85, 255
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,633,261,255,342, is 1.
Now, the common factors can be found like this.
251:251
633:3x 211
261:3x 3x 29
255:3x 5x 17
342:2x 3x 3x 19
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 3 = 81
Therefore, the value for common factors is 81.
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 = 3616464658230/(1x81)
LCM = 3616464658230/81
LCM = 44647711830
Thus, we can understand that the LCM of 251,633,261,255,342 is 44647711830.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 251, 633, 261, 255, 342
1. What is the LCM of 251, 633, 261, 255, 342?
Answer: LCM of 251, 633, 261, 255, 342 is 44647711830.
2. How to calculate the LCM of 251, 633, 261, 255, 342?
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 251, 633, 261, 255, 342.
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}.