LCM of 337, 792, 436, 168, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 792, 436, 168, 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 337, 792, 436, 168, 198. So, keep reading to learn more.
Given numbers are 337,792,436,168,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,792,436,168,198 is 203647752.
Find LCM of 337,792,436,168,198 with Prime Factorization
| 2 | 337, 792, 436, 168, 198 |
| 2 | 337, 396, 218, 84, 99 |
| 2 | 337, 198, 109, 42, 99 |
| 3 | 337, 99, 109, 21, 99 |
| 3 | 337, 33, 109, 7, 33 |
| 11 | 337, 11, 109, 7, 11 |
| 337, 1, 109, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 337 x 1 x 109 x 7 x 1 = 203647752
Therefore, the lowest common multiple of 337,792,436,168,198 is 203647752.
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.
337 x 792 x 436 x 168 x 198 = 3870936470016
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.
337 : 1, 337
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
436 : 1, 2, 4, 109, 218, 436
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,792,436,168,198, is 1.
Now, the common factors can be found like this.
337:337
792:2x 2x 2x 3x 3x 11
436:2x 2x 109
168:2x 2x 2x 3x 7
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 2x 2x 3x 3x 3x 11 = 19008
Therefore, the value for common factors is 19008.
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 = 3870936470016/(1x19008)
LCM = 3870936470016/19008
LCM = 203647752
Thus, we can understand that the LCM of 337,792,436,168,198 is 203647752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 792, 436, 168, 198
1. What is the LCM of 337, 792, 436, 168, 198?
Answer: LCM of 337, 792, 436, 168, 198 is 203647752.
2. How to calculate the LCM of 337, 792, 436, 168, 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 337, 792, 436, 168, 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}.