LCM of 917, 988, 342, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 988, 342, 204 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 917, 988, 342, 204. So, keep reading to learn more.
Given numbers are 917,988,342,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,988,342,204 is 138617388.
Find LCM of 917,988,342,204 with Prime Factorization
| 2 | 917, 988, 342, 204 |
| 2 | 917, 494, 171, 102 |
| 3 | 917, 247, 171, 51 |
| 19 | 917, 247, 57, 17 |
| 917, 13, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 917 x 13 x 3 x 17 = 138617388
Therefore, the lowest common multiple of 917,988,342,204 is 138617388.
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.
917 x 988 x 342 x 204 = 63209528928
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.
917 : 1, 7, 131, 917
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,988,342,204, is 1.
Now, the common factors can be found like this.
917:7x 131
988:2x 2x 13x 19
342:2x 3x 3x 19
204:2x 2x 3x 17
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 63209528928/(1x456)
LCM = 63209528928/456
LCM = 138617388
Thus, we can understand that the LCM of 917,988,342,204 is 138617388.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 917, 988, 342, 204
1. What is the LCM of 917, 988, 342, 204?
Answer: LCM of 917, 988, 342, 204 is 138617388.
2. How to calculate the LCM of 917, 988, 342, 204?
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 917, 988, 342, 204.
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}.