LCM of 195, 294, 457, 518, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 294, 457, 518, 241 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 195, 294, 457, 518, 241. So, keep reading to learn more.
Given numbers are 195,294,457,518,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,294,457,518,241 is 77874568590.
Find LCM of 195,294,457,518,241 with Prime Factorization
| 2 | 195, 294, 457, 518, 241 |
| 3 | 195, 147, 457, 259, 241 |
| 7 | 65, 49, 457, 259, 241 |
| 65, 7, 457, 37, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 65 x 7 x 457 x 37 x 241 = 77874568590
Therefore, the lowest common multiple of 195,294,457,518,241 is 77874568590.
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.
195 x 294 x 457 x 518 x 241 = 3270731880780
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
457 : 1, 457
518 : 1, 2, 7, 14, 37, 74, 259, 518
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,294,457,518,241, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
294:2x 3x 7x 7
457:457
518:2x 7x 37
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 3270731880780/(1x42)
LCM = 3270731880780/42
LCM = 77874568590
Thus, we can understand that the LCM of 195,294,457,518,241 is 77874568590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 195, 294, 457, 518, 241
1. What is the LCM of 195, 294, 457, 518, 241?
Answer: LCM of 195, 294, 457, 518, 241 is 77874568590.
2. How to calculate the LCM of 195, 294, 457, 518, 241?
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 195, 294, 457, 518, 241.
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}.