Find the LCM of 695, 969, 969, 242 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 695, 969, 969, 242. So, keep reading to learn more.
Given numbers are 695,969,969,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,969,969,242 is 162976110.
Find LCM of 695,969,969,242 with Prime Factorization
3 | 695, 969, 969, 242 |
17 | 695, 323, 323, 242 |
19 | 695, 19, 19, 242 |
695, 1, 1, 242 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 695 x 1 x 1 x 242 = 162976110
Therefore, the lowest common multiple of 695,969,969,242 is 162976110.
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.
695 x 969 x 969 x 242 = 157923850590
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.
695 : 1, 5, 139, 695
969 : 1, 3, 17, 19, 51, 57, 323, 969
969 : 1, 3, 17, 19, 51, 57, 323, 969
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,969,969,242, is 1.
Now, the common factors can be found like this.
695:5x 139
969:3x 17x 19
969:3x 17x 19
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 157923850590/(1x969)
LCM = 157923850590/969
LCM = 162976110
Thus, we can understand that the LCM of 695,969,969,242 is 162976110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 695, 969, 969, 242?
Answer: LCM of 695, 969, 969, 242 is 162976110.
2. How to calculate the LCM of 695, 969, 969, 242?
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 695, 969, 969, 242.
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}.