Find the LCM of 844, 290, 242, 539, 110 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 844, 290, 242, 539, 110. So, keep reading to learn more.
Given numbers are 844,290,242,539,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,290,242,539,110 is 725591020.
Find LCM of 844,290,242,539,110 with Prime Factorization
2 | 844, 290, 242, 539, 110 |
5 | 422, 145, 121, 539, 55 |
11 | 422, 29, 121, 539, 11 |
422, 29, 1, 49, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 422 x 29 x 1 x 49 x 11 = 725591020
Therefore, the lowest common multiple of 844,290,242,539,110 is 725591020.
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.
844 x 290 x 242 x 539 x 110 = 3511860536800
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.
844 : 1, 2, 4, 211, 422, 844
290 : 1, 2, 5, 10, 29, 58, 145, 290
242 : 1, 2, 11, 22, 121, 242
539 : 1, 7, 11, 49, 77, 539
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,290,242,539,110, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
290:2x 5x 29
242:2x 11x 11
539:7x 7x 11
110:2x 5x 11
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 5x 11x 11 = 4840
Therefore, the value for common factors is 4840.
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 = 3511860536800/(1x4840)
LCM = 3511860536800/4840
LCM = 725591020
Thus, we can understand that the LCM of 844,290,242,539,110 is 725591020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 844, 290, 242, 539, 110?
Answer: LCM of 844, 290, 242, 539, 110 is 725591020.
2. How to calculate the LCM of 844, 290, 242, 539, 110?
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 844, 290, 242, 539, 110.
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}.