Find the LCM of 273, 302, 969, 843, 383 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 273, 302, 969, 843, 383. So, keep reading to learn more.
Given numbers are 273,302,969,843,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,302,969,843,383 is 2866006732134.
Find LCM of 273,302,969,843,383 with Prime Factorization
3 | 273, 302, 969, 843, 383 |
91, 302, 323, 281, 383 |
Multiply the prime numbers at the bottom and the left side.
3 x 91 x 302 x 323 x 281 x 383 = 2866006732134
Therefore, the lowest common multiple of 273,302,969,843,383 is 2866006732134.
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.
273 x 302 x 969 x 843 x 383 = 25794060589206
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
302 : 1, 2, 151, 302
969 : 1, 3, 17, 19, 51, 57, 323, 969
843 : 1, 3, 281, 843
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,302,969,843,383, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
302:2x 151
969:3x 17x 19
843:3x 281
383:383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 25794060589206/(1x9)
LCM = 25794060589206/9
LCM = 2866006732134
Thus, we can understand that the LCM of 273,302,969,843,383 is 2866006732134.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 302, 969, 843, 383?
Answer: LCM of 273, 302, 969, 843, 383 is 2866006732134.
2. How to calculate the LCM of 273, 302, 969, 843, 383?
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 273, 302, 969, 843, 383.
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}.