Find the LCM of 304, 646, 881, 526, 247 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 304, 646, 881, 526, 247. So, keep reading to learn more.
Given numbers are 304,646,881,526,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,646,881,526,247 is 15566734352.
Find LCM of 304,646,881,526,247 with Prime Factorization
2 | 304, 646, 881, 526, 247 |
19 | 152, 323, 881, 263, 247 |
8, 17, 881, 263, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 8 x 17 x 881 x 263 x 13 = 15566734352
Therefore, the lowest common multiple of 304,646,881,526,247 is 15566734352.
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.
304 x 646 x 881 x 526 x 247 = 22478364404288
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
646 : 1, 2, 17, 19, 34, 38, 323, 646
881 : 1, 881
526 : 1, 2, 263, 526
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,646,881,526,247, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
646:2x 17x 19
881:881
526:2x 263
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 22478364404288/(1x1444)
LCM = 22478364404288/1444
LCM = 15566734352
Thus, we can understand that the LCM of 304,646,881,526,247 is 15566734352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 646, 881, 526, 247?
Answer: LCM of 304, 646, 881, 526, 247 is 15566734352.
2. How to calculate the LCM of 304, 646, 881, 526, 247?
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 304, 646, 881, 526, 247.
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}.