Find the LCM of 547, 515, 515, 753 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 547, 515, 515, 753. So, keep reading to learn more.
Given numbers are 547,515,515,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,515,515,753 is 212123865.
Find LCM of 547,515,515,753 with Prime Factorization
5 | 547, 515, 515, 753 |
103 | 547, 103, 103, 753 |
547, 1, 1, 753 |
Multiply the prime numbers at the bottom and the left side.
5 x 103 x 547 x 1 x 1 x 753 = 212123865
Therefore, the lowest common multiple of 547,515,515,753 is 212123865.
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.
547 x 515 x 515 x 753 = 109243790475
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.
547 : 1, 547
515 : 1, 5, 103, 515
515 : 1, 5, 103, 515
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,515,515,753, is 1.
Now, the common factors can be found like this.
547:547
515:5x 103
515:5x 103
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 103 = 515
Therefore, the value for common factors is 515.
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 = 109243790475/(1x515)
LCM = 109243790475/515
LCM = 212123865
Thus, we can understand that the LCM of 547,515,515,753 is 212123865.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 515, 515, 753?
Answer: LCM of 547, 515, 515, 753 is 212123865.
2. How to calculate the LCM of 547, 515, 515, 753?
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 547, 515, 515, 753.
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}.