LCM of 909, 168, 198, 189, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 168, 198, 189, 778 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 909, 168, 198, 189, 778. So, keep reading to learn more.
Given numbers are 909,168,198,189,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,168,198,189,778 is 653454648.
Find LCM of 909,168,198,189,778 with Prime Factorization
| 2 | 909, 168, 198, 189, 778 |
| 3 | 909, 84, 99, 189, 389 |
| 3 | 303, 28, 33, 63, 389 |
| 7 | 101, 28, 11, 21, 389 |
| 101, 4, 11, 3, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 101 x 4 x 11 x 3 x 389 = 653454648
Therefore, the lowest common multiple of 909,168,198,189,778 is 653454648.
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.
909 x 168 x 198 x 189 x 778 = 4446105424992
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.
909 : 1, 3, 9, 101, 303, 909
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
189 : 1, 3, 7, 9, 21, 27, 63, 189
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,168,198,189,778, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
168:2x 2x 2x 3x 7
198:2x 3x 3x 11
189:3x 3x 3x 7
778:2x 389
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 3x 3x 3x 3x 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 4446105424992/(1x6804)
LCM = 4446105424992/6804
LCM = 653454648
Thus, we can understand that the LCM of 909,168,198,189,778 is 653454648.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 909, 168, 198, 189, 778
1. What is the LCM of 909, 168, 198, 189, 778?
Answer: LCM of 909, 168, 198, 189, 778 is 653454648.
2. How to calculate the LCM of 909, 168, 198, 189, 778?
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 909, 168, 198, 189, 778.
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}.