Find the LCM of 545, 901, 443, 886, 763 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 545, 901, 443, 886, 763. So, keep reading to learn more.
Given numbers are 545,901,443,886,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,901,443,886,763 is 3045461090.
Find LCM of 545,901,443,886,763 with Prime Factorization
109 | 545, 901, 443, 886, 763 |
443 | 5, 901, 443, 886, 7 |
5, 901, 1, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
109 x 443 x 5 x 901 x 1 x 2 x 7 = 3045461090
Therefore, the lowest common multiple of 545,901,443,886,763 is 3045461090.
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.
545 x 901 x 443 x 886 x 763 = 147056179652830
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.
545 : 1, 5, 109, 545
901 : 1, 17, 53, 901
443 : 1, 443
886 : 1, 2, 443, 886
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,901,443,886,763, is 1.
Now, the common factors can be found like this.
545:5x 109
901:17x 53
443:443
886:2x 443
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
109x 443 = 48287
Therefore, the value for common factors is 48287.
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 = 147056179652830/(1x48287)
LCM = 147056179652830/48287
LCM = 3045461090
Thus, we can understand that the LCM of 545,901,443,886,763 is 3045461090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 545, 901, 443, 886, 763?
Answer: LCM of 545, 901, 443, 886, 763 is 3045461090.
2. How to calculate the LCM of 545, 901, 443, 886, 763?
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 545, 901, 443, 886, 763.
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}.