Find the LCM of 268, 845, 918, 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 268, 845, 918, 663. So, keep reading to learn more.
Given numbers are 268,845,918,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,845,918,663 is 103945140.
Find LCM of 268,845,918,663 with Prime Factorization
2 | 268, 845, 918, 663 |
3 | 134, 845, 459, 663 |
13 | 134, 845, 153, 221 |
17 | 134, 65, 153, 17 |
134, 65, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 134 x 65 x 9 x 1 = 103945140
Therefore, the lowest common multiple of 268,845,918,663 is 103945140.
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.
268 x 845 x 918 x 663 = 137831255640
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.
268 : 1, 2, 4, 67, 134, 268
845 : 1, 5, 13, 65, 169, 845
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 268,845,918,663, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
845:5x 13x 13
918:2x 3x 3x 3x 17
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.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 137831255640/(1x1326)
LCM = 137831255640/1326
LCM = 103945140
Thus, we can understand that the LCM of 268,845,918,663 is 103945140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 845, 918, 663?
Answer: LCM of 268, 845, 918, 663 is 103945140.
2. How to calculate the LCM of 268, 845, 918, 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 268, 845, 918, 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}.