Find the LCM of 657, 396, 348, 377, 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 657, 396, 348, 377, 198. So, keep reading to learn more.
Given numbers are 657,396,348,377,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,396,348,377,198 is 10898316.
Find LCM of 657,396,348,377,198 with Prime Factorization
2 | 657, 396, 348, 377, 198 |
2 | 657, 198, 174, 377, 99 |
3 | 657, 99, 87, 377, 99 |
3 | 219, 33, 29, 377, 33 |
11 | 73, 11, 29, 377, 11 |
29 | 73, 1, 29, 377, 1 |
73, 1, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 29 x 73 x 1 x 1 x 13 x 1 = 10898316
Therefore, the lowest common multiple of 657,396,348,377,198 is 10898316.
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.
657 x 396 x 348 x 377 x 198 = 6758438090976
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.
657 : 1, 3, 9, 73, 219, 657
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
377 : 1, 13, 29, 377
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 657,396,348,377,198, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
396:2x 2x 3x 3x 11
348:2x 2x 3x 29
377:13x 29
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 3x 3x 3x 3x 11x 29 = 620136
Therefore, the value for common factors is 620136.
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 = 6758438090976/(1x620136)
LCM = 6758438090976/620136
LCM = 10898316
Thus, we can understand that the LCM of 657,396,348,377,198 is 10898316.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 396, 348, 377, 198?
Answer: LCM of 657, 396, 348, 377, 198 is 10898316.
2. How to calculate the LCM of 657, 396, 348, 377, 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 657, 396, 348, 377, 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}.