LCM of 342, 171, 492, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 171, 492, 936 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 342, 171, 492, 936. So, keep reading to learn more.
Given numbers are 342,171,492,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,171,492,936 is 729144.
Find LCM of 342,171,492,936 with Prime Factorization
| 2 | 342, 171, 492, 936 |
| 2 | 171, 171, 246, 468 |
| 3 | 171, 171, 123, 234 |
| 3 | 57, 57, 41, 78 |
| 19 | 19, 19, 41, 26 |
| 1, 1, 41, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 1 x 41 x 26 = 729144
Therefore, the lowest common multiple of 342,171,492,936 is 729144.
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.
342 x 171 x 492 x 936 = 26931662784
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
171 : 1, 3, 9, 19, 57, 171
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,171,492,936, is 3.
Now, the common factors can be found like this.
342:2x 3x 3x 19
171:3x 3x 19
492:2x 2x 3x 41
936:2x 2x 2x 3x 3x 13
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 3x 3x 3x 19 = 12312
Therefore, the value for common factors is 12312.
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 = 26931662784/(3x12312)
LCM = 26931662784/36936
LCM = 729144
Thus, we can understand that the LCM of 342,171,492,936 is 729144.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 342, 171, 492, 936
1. What is the LCM of 342, 171, 492, 936?
Answer: LCM of 342, 171, 492, 936 is 729144.
2. How to calculate the LCM of 342, 171, 492, 936?
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 342, 171, 492, 936.
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}.