LCM of 396, 123, 122, 692, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 123, 122, 692, 738 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 396, 123, 122, 692, 738. So, keep reading to learn more.
Given numbers are 396,123,122,692,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,123,122,692,738 is 171338508.
Find LCM of 396,123,122,692,738 with Prime Factorization
| 2 | 396, 123, 122, 692, 738 |
| 2 | 198, 123, 61, 346, 369 |
| 3 | 99, 123, 61, 173, 369 |
| 3 | 33, 41, 61, 173, 123 |
| 41 | 11, 41, 61, 173, 41 |
| 11, 1, 61, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 41 x 11 x 1 x 61 x 173 x 1 = 171338508
Therefore, the lowest common multiple of 396,123,122,692,738 is 171338508.
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.
396 x 123 x 122 x 692 x 738 = 3034747653696
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
123 : 1, 3, 41, 123
122 : 1, 2, 61, 122
692 : 1, 2, 4, 173, 346, 692
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,123,122,692,738, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
123:3x 41
122:2x 61
692:2x 2x 173
738:2x 3x 3x 41
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 3x 3x 3x 41 = 17712
Therefore, the value for common factors is 17712.
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 = 3034747653696/(1x17712)
LCM = 3034747653696/17712
LCM = 171338508
Thus, we can understand that the LCM of 396,123,122,692,738 is 171338508.
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FAQs on LCM of 396, 123, 122, 692, 738
1. What is the LCM of 396, 123, 122, 692, 738?
Answer: LCM of 396, 123, 122, 692, 738 is 171338508.
2. How to calculate the LCM of 396, 123, 122, 692, 738?
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 396, 123, 122, 692, 738.
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}.