Find the LCM of 220, 878, 962, 847, 733 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 220, 878, 962, 847, 733. So, keep reading to learn more.
Given numbers are 220,878,962,847,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,878,962,847,733 is 2621965526180.
Find LCM of 220,878,962,847,733 with Prime Factorization
2 | 220, 878, 962, 847, 733 |
11 | 110, 439, 481, 847, 733 |
10, 439, 481, 77, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 10 x 439 x 481 x 77 x 733 = 2621965526180
Therefore, the lowest common multiple of 220,878,962,847,733 is 2621965526180.
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.
220 x 878 x 962 x 847 x 733 = 115366483151920
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
878 : 1, 2, 439, 878
962 : 1, 2, 13, 26, 37, 74, 481, 962
847 : 1, 7, 11, 77, 121, 847
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,878,962,847,733, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
878:2x 439
962:2x 13x 37
847:7x 11x 11
733:733
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 11 = 44
Therefore, the value for common factors is 44.
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 = 115366483151920/(1x44)
LCM = 115366483151920/44
LCM = 2621965526180
Thus, we can understand that the LCM of 220,878,962,847,733 is 2621965526180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 878, 962, 847, 733?
Answer: LCM of 220, 878, 962, 847, 733 is 2621965526180.
2. How to calculate the LCM of 220, 878, 962, 847, 733?
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 220, 878, 962, 847, 733.
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}.