Find the LCM of 319, 273, 292, 962, 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 319, 273, 292, 962, 241. So, keep reading to learn more.
Given numbers are 319,273,292,962,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,273,292,962,241 is 226753995468.
Find LCM of 319,273,292,962,241 with Prime Factorization
2 | 319, 273, 292, 962, 241 |
13 | 319, 273, 146, 481, 241 |
319, 21, 146, 37, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 319 x 21 x 146 x 37 x 241 = 226753995468
Therefore, the lowest common multiple of 319,273,292,962,241 is 226753995468.
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.
319 x 273 x 292 x 962 x 241 = 5895603882168
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.
319 : 1, 11, 29, 319
273 : 1, 3, 7, 13, 21, 39, 91, 273
292 : 1, 2, 4, 73, 146, 292
962 : 1, 2, 13, 26, 37, 74, 481, 962
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,273,292,962,241, is 1.
Now, the common factors can be found like this.
319:11x 29
273:3x 7x 13
292:2x 2x 73
962:2x 13x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 5895603882168/(1x26)
LCM = 5895603882168/26
LCM = 226753995468
Thus, we can understand that the LCM of 319,273,292,962,241 is 226753995468.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 273, 292, 962, 241?
Answer: LCM of 319, 273, 292, 962, 241 is 226753995468.
2. How to calculate the LCM of 319, 273, 292, 962, 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 319, 273, 292, 962, 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}.