Find the LCM of 245, 961, 190, 918, 961 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 245, 961, 190, 918, 961. So, keep reading to learn more.
Given numbers are 245,961,190,918,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,961,190,918,961 is 4106631690.
Find LCM of 245,961,190,918,961 with Prime Factorization
2 | 245, 961, 190, 918, 961 |
5 | 245, 961, 95, 459, 961 |
31 | 49, 961, 19, 459, 961 |
31 | 49, 31, 19, 459, 31 |
49, 1, 19, 459, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 31 x 49 x 1 x 19 x 459 x 1 = 4106631690
Therefore, the lowest common multiple of 245,961,190,918,961 is 4106631690.
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.
245 x 961 x 190 x 918 x 961 = 39464730540900
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.
245 : 1, 5, 7, 35, 49, 245
961 : 1, 31, 961
190 : 1, 2, 5, 10, 19, 38, 95, 190
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,961,190,918,961, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
961:31x 31
190:2x 5x 19
918:2x 3x 3x 3x 17
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 31x 31 = 9610
Therefore, the value for common factors is 9610.
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 = 39464730540900/(1x9610)
LCM = 39464730540900/9610
LCM = 4106631690
Thus, we can understand that the LCM of 245,961,190,918,961 is 4106631690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 245, 961, 190, 918, 961?
Answer: LCM of 245, 961, 190, 918, 961 is 4106631690.
2. How to calculate the LCM of 245, 961, 190, 918, 961?
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 245, 961, 190, 918, 961.
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}.