Find the LCM of 535, 538, 872, 913, 182 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 535, 538, 872, 913, 182. So, keep reading to learn more.
Given numbers are 535,538,872,913,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,538,872,913,182 is 10426408032040.
Find LCM of 535,538,872,913,182 with Prime Factorization
2 | 535, 538, 872, 913, 182 |
535, 269, 436, 913, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 535 x 269 x 436 x 913 x 91 = 10426408032040
Therefore, the lowest common multiple of 535,538,872,913,182 is 10426408032040.
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.
535 x 538 x 872 x 913 x 182 = 41705632128160
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.
535 : 1, 5, 107, 535
538 : 1, 2, 269, 538
872 : 1, 2, 4, 8, 109, 218, 436, 872
913 : 1, 11, 83, 913
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,538,872,913,182, is 1.
Now, the common factors can be found like this.
535:5x 107
538:2x 269
872:2x 2x 2x 109
913:11x 83
182:2x 7x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 41705632128160/(1x4)
LCM = 41705632128160/4
LCM = 10426408032040
Thus, we can understand that the LCM of 535,538,872,913,182 is 10426408032040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 538, 872, 913, 182?
Answer: LCM of 535, 538, 872, 913, 182 is 10426408032040.
2. How to calculate the LCM of 535, 538, 872, 913, 182?
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 535, 538, 872, 913, 182.
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}.