Find the LCM of 120, 547, 180, 547 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 120, 547, 180, 547. So, keep reading to learn more.
Given numbers are 120,547,180,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,547,180,547 is 196920.
Find LCM of 120,547,180,547 with Prime Factorization
2 | 120, 547, 180, 547 |
2 | 60, 547, 90, 547 |
3 | 30, 547, 45, 547 |
5 | 10, 547, 15, 547 |
547 | 2, 547, 3, 547 |
2, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 547 x 2 x 1 x 3 x 1 = 196920
Therefore, the lowest common multiple of 120,547,180,547 is 196920.
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.
120 x 547 x 180 x 547 = 6462914400
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
547 : 1, 547
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,547,180,547, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
547:547
180:2x 2x 3x 3x 5
547:547
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 5x 547 = 32820
Therefore, the value for common factors is 32820.
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 = 6462914400/(1x32820)
LCM = 6462914400/32820
LCM = 196920
Thus, we can understand that the LCM of 120,547,180,547 is 196920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 120, 547, 180, 547?
Answer: LCM of 120, 547, 180, 547 is 196920.
2. How to calculate the LCM of 120, 547, 180, 547?
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 120, 547, 180, 547.
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}.