Find the LCM of 863, 824, 961, 196, 882 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 863, 824, 961, 196, 882. So, keep reading to learn more.
Given numbers are 863,824,961,196,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,824,961,196,882 is 301369976712.
Find LCM of 863,824,961,196,882 with Prime Factorization
2 | 863, 824, 961, 196, 882 |
2 | 863, 412, 961, 98, 441 |
7 | 863, 206, 961, 49, 441 |
7 | 863, 206, 961, 7, 63 |
863, 206, 961, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 863 x 206 x 961 x 1 x 9 = 301369976712
Therefore, the lowest common multiple of 863,824,961,196,882 is 301369976712.
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.
863 x 824 x 961 x 196 x 882 = 118137030871104
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.
863 : 1, 863
824 : 1, 2, 4, 8, 103, 206, 412, 824
961 : 1, 31, 961
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,824,961,196,882, is 1.
Now, the common factors can be found like this.
863:863
824:2x 2x 2x 103
961:31x 31
196:2x 2x 7x 7
882:2x 3x 3x 7x 7
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 118137030871104/(1x392)
LCM = 118137030871104/392
LCM = 301369976712
Thus, we can understand that the LCM of 863,824,961,196,882 is 301369976712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 863, 824, 961, 196, 882?
Answer: LCM of 863, 824, 961, 196, 882 is 301369976712.
2. How to calculate the LCM of 863, 824, 961, 196, 882?
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 863, 824, 961, 196, 882.
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}.