Find the LCM of 163, 536, 148, 652, 676 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 163, 536, 148, 652, 676. So, keep reading to learn more.
Given numbers are 163,536,148,652,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,536,148,652,676 is 546312104.
Find LCM of 163,536,148,652,676 with Prime Factorization
2 | 163, 536, 148, 652, 676 |
2 | 163, 268, 74, 326, 338 |
163 | 163, 134, 37, 163, 169 |
1, 134, 37, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 163 x 1 x 134 x 37 x 1 x 169 = 546312104
Therefore, the lowest common multiple of 163,536,148,652,676 is 546312104.
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.
163 x 536 x 148 x 652 x 676 = 5699127868928
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.
163 : 1, 163
536 : 1, 2, 4, 8, 67, 134, 268, 536
148 : 1, 2, 4, 37, 74, 148
652 : 1, 2, 4, 163, 326, 652
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,536,148,652,676, is 1.
Now, the common factors can be found like this.
163:163
536:2x 2x 2x 67
148:2x 2x 37
652:2x 2x 163
676:2x 2x 13x 13
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 2x 2x 2x 2x 163 = 10432
Therefore, the value for common factors is 10432.
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 = 5699127868928/(1x10432)
LCM = 5699127868928/10432
LCM = 546312104
Thus, we can understand that the LCM of 163,536,148,652,676 is 546312104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 163, 536, 148, 652, 676?
Answer: LCM of 163, 536, 148, 652, 676 is 546312104.
2. How to calculate the LCM of 163, 536, 148, 652, 676?
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 163, 536, 148, 652, 676.
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}.