Find the LCM of 637, 996, 627, 624, 249 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 637, 996, 627, 624, 249. So, keep reading to learn more.
Given numbers are 637,996,627,624,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,996,627,624,249 is 530401872.
Find LCM of 637,996,627,624,249 with Prime Factorization
2 | 637, 996, 627, 624, 249 |
2 | 637, 498, 627, 312, 249 |
3 | 637, 249, 627, 156, 249 |
13 | 637, 83, 209, 52, 83 |
83 | 49, 83, 209, 4, 83 |
49, 1, 209, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 83 x 49 x 1 x 209 x 4 x 1 = 530401872
Therefore, the lowest common multiple of 637,996,627,624,249 is 530401872.
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.
637 x 996 x 627 x 624 x 249 = 61808790947904
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.
637 : 1, 7, 13, 49, 91, 637
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
627 : 1, 3, 11, 19, 33, 57, 209, 627
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,996,627,624,249, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
996:2x 2x 3x 83
627:3x 11x 19
624:2x 2x 2x 2x 3x 13
249:3x 83
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 3x 3x 3x 13x 83 = 116532
Therefore, the value for common factors is 116532.
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 = 61808790947904/(1x116532)
LCM = 61808790947904/116532
LCM = 530401872
Thus, we can understand that the LCM of 637,996,627,624,249 is 530401872.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 996, 627, 624, 249?
Answer: LCM of 637, 996, 627, 624, 249 is 530401872.
2. How to calculate the LCM of 637, 996, 627, 624, 249?
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 637, 996, 627, 624, 249.
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}.