Find the LCM of 108, 269, 538, 677 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 108, 269, 538, 677. So, keep reading to learn more.
Given numbers are 108,269,538,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,269,538,677 is 19668204.
Find LCM of 108,269,538,677 with Prime Factorization
2 | 108, 269, 538, 677 |
269 | 54, 269, 269, 677 |
54, 1, 1, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 54 x 1 x 1 x 677 = 19668204
Therefore, the lowest common multiple of 108,269,538,677 is 19668204.
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.
108 x 269 x 538 x 677 = 10581493752
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
269 : 1, 269
538 : 1, 2, 269, 538
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,269,538,677, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
269:269
538:2x 269
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 269 = 538
Therefore, the value for common factors is 538.
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 = 10581493752/(1x538)
LCM = 10581493752/538
LCM = 19668204
Thus, we can understand that the LCM of 108,269,538,677 is 19668204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 108, 269, 538, 677?
Answer: LCM of 108, 269, 538, 677 is 19668204.
2. How to calculate the LCM of 108, 269, 538, 677?
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 108, 269, 538, 677.
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}.