Find the LCM of 463, 183, 988, 572, 307 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 463, 183, 988, 572, 307. So, keep reading to learn more.
Given numbers are 463,183,988,572,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,183,988,572,307 is 282696275004.
Find LCM of 463,183,988,572,307 with Prime Factorization
2 | 463, 183, 988, 572, 307 |
2 | 463, 183, 494, 286, 307 |
13 | 463, 183, 247, 143, 307 |
463, 183, 19, 11, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 463 x 183 x 19 x 11 x 307 = 282696275004
Therefore, the lowest common multiple of 463,183,988,572,307 is 282696275004.
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.
463 x 183 x 988 x 572 x 307 = 14700206300208
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.
463 : 1, 463
183 : 1, 3, 61, 183
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,183,988,572,307, is 1.
Now, the common factors can be found like this.
463:463
183:3x 61
988:2x 2x 13x 19
572:2x 2x 11x 13
307:307
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 13 = 52
Therefore, the value for common factors is 52.
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 = 14700206300208/(1x52)
LCM = 14700206300208/52
LCM = 282696275004
Thus, we can understand that the LCM of 463,183,988,572,307 is 282696275004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 183, 988, 572, 307?
Answer: LCM of 463, 183, 988, 572, 307 is 282696275004.
2. How to calculate the LCM of 463, 183, 988, 572, 307?
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 463, 183, 988, 572, 307.
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}.