LCM of 968, 968, 138, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 968, 968, 138, 198 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 968, 968, 138, 198. So, keep reading to learn more.
Given numbers are 968,968,138,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,968,138,198 is 200376.
Find LCM of 968,968,138,198 with Prime Factorization
| 2 | 968, 968, 138, 198 |
| 2 | 484, 484, 69, 99 |
| 2 | 242, 242, 69, 99 |
| 3 | 121, 121, 69, 99 |
| 11 | 121, 121, 23, 33 |
| 11 | 11, 11, 23, 3 |
| 1, 1, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 11 x 1 x 1 x 23 x 3 = 200376
Therefore, the lowest common multiple of 968,968,138,198 is 200376.
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.
968 x 968 x 138 x 198 = 25603243776
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
138 : 1, 2, 3, 6, 23, 46, 69, 138
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,968,138,198, is 2.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
968:2x 2x 2x 11x 11
138:2x 3x 23
198:2x 3x 3x 11
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 2x 3x 11x 11x 11 = 63888
Therefore, the value for common factors is 63888.
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 = 25603243776/(2x63888)
LCM = 25603243776/127776
LCM = 200376
Thus, we can understand that the LCM of 968,968,138,198 is 200376.
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FAQs on LCM of 968, 968, 138, 198
1. What is the LCM of 968, 968, 138, 198?
Answer: LCM of 968, 968, 138, 198 is 200376.
2. How to calculate the LCM of 968, 968, 138, 198?
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 968, 968, 138, 198.
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}.