LCM of 637, 981, 917, 948, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 981, 917, 948, 663 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, 981, 917, 948, 663. So, keep reading to learn more.
Given numbers are 637,981,917,948,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,981,917,948,663 is 439760015604.
Find LCM of 637,981,917,948,663 with Prime Factorization
| 3 | 637, 981, 917, 948, 663 |
| 7 | 637, 327, 917, 316, 221 |
| 13 | 91, 327, 131, 316, 221 |
| 7, 327, 131, 316, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 7 x 327 x 131 x 316 x 17 = 439760015604
Therefore, the lowest common multiple of 637,981,917,948,663 is 439760015604.
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 981 x 917 x 948 x 663 = 360163452779676
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
981 : 1, 3, 9, 109, 327, 981
917 : 1, 7, 131, 917
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,981,917,948,663, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
981:3x 3x 109
917:7x 131
948:2x 2x 3x 79
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 13 = 819
Therefore, the value for common factors is 819.
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 = 360163452779676/(1x819)
LCM = 360163452779676/819
LCM = 439760015604
Thus, we can understand that the LCM of 637,981,917,948,663 is 439760015604.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 637, 981, 917, 948, 663
1. What is the LCM of 637, 981, 917, 948, 663?
Answer: LCM of 637, 981, 917, 948, 663 is 439760015604.
2. How to calculate the LCM of 637, 981, 917, 948, 663?
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, 981, 917, 948, 663.
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}.