LCM of 348, 407, 880, 451, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 407, 880, 451, 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 348, 407, 880, 451, 198. So, keep reading to learn more.
Given numbers are 348,407,880,451,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,407,880,451,198 is 348424560.
Find LCM of 348,407,880,451,198 with Prime Factorization
| 2 | 348, 407, 880, 451, 198 |
| 2 | 174, 407, 440, 451, 99 |
| 3 | 87, 407, 220, 451, 99 |
| 11 | 29, 407, 220, 451, 33 |
| 29, 37, 20, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 37 x 20 x 41 x 3 = 348424560
Therefore, the lowest common multiple of 348,407,880,451,198 is 348424560.
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.
348 x 407 x 880 x 451 x 198 = 11130074144640
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
407 : 1, 11, 37, 407
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
451 : 1, 11, 41, 451
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 348,407,880,451,198, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
407:11x 37
880:2x 2x 2x 2x 5x 11
451:11x 41
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 3x 11x 11x 11 = 31944
Therefore, the value for common factors is 31944.
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 = 11130074144640/(1x31944)
LCM = 11130074144640/31944
LCM = 348424560
Thus, we can understand that the LCM of 348,407,880,451,198 is 348424560.
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FAQs on LCM of 348, 407, 880, 451, 198
1. What is the LCM of 348, 407, 880, 451, 198?
Answer: LCM of 348, 407, 880, 451, 198 is 348424560.
2. How to calculate the LCM of 348, 407, 880, 451, 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 348, 407, 880, 451, 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}.