Find the LCM of 212, 367, 638, 556, 734 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 212, 367, 638, 556, 734. So, keep reading to learn more.
Given numbers are 212,367,638,556,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,367,638,556,734 is 3449907164.
Find LCM of 212,367,638,556,734 with Prime Factorization
2 | 212, 367, 638, 556, 734 |
2 | 106, 367, 319, 278, 367 |
367 | 53, 367, 319, 139, 367 |
53, 1, 319, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 367 x 53 x 1 x 319 x 139 x 1 = 3449907164
Therefore, the lowest common multiple of 212,367,638,556,734 is 3449907164.
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.
212 x 367 x 638 x 556 x 734 = 20257854867008
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.
212 : 1, 2, 4, 53, 106, 212
367 : 1, 367
638 : 1, 2, 11, 22, 29, 58, 319, 638
556 : 1, 2, 4, 139, 278, 556
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,367,638,556,734, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
367:367
638:2x 11x 29
556:2x 2x 139
734:2x 367
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 367 = 5872
Therefore, the value for common factors is 5872.
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 = 20257854867008/(1x5872)
LCM = 20257854867008/5872
LCM = 3449907164
Thus, we can understand that the LCM of 212,367,638,556,734 is 3449907164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 367, 638, 556, 734?
Answer: LCM of 212, 367, 638, 556, 734 is 3449907164.
2. How to calculate the LCM of 212, 367, 638, 556, 734?
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 212, 367, 638, 556, 734.
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}.