LCM of 138, 183, 126, 676, 122
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 183, 126, 676, 122 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 138, 183, 126, 676, 122. So, keep reading to learn more.
Given numbers are 138,183,126,676,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,183,126,676,122 is 59750964.
Find LCM of 138,183,126,676,122 with Prime Factorization
| 2 | 138, 183, 126, 676, 122 |
| 3 | 69, 183, 63, 338, 61 |
| 61 | 23, 61, 21, 338, 61 |
| 23, 1, 21, 338, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 23 x 1 x 21 x 338 x 1 = 59750964
Therefore, the lowest common multiple of 138,183,126,676,122 is 59750964.
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.
138 x 183 x 126 x 676 x 122 = 262426233888
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
183 : 1, 3, 61, 183
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,183,126,676,122, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
183:3x 61
126:2x 3x 3x 7
676:2x 2x 13x 13
122:2x 61
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 61 = 4392
Therefore, the value for common factors is 4392.
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 = 262426233888/(1x4392)
LCM = 262426233888/4392
LCM = 59750964
Thus, we can understand that the LCM of 138,183,126,676,122 is 59750964.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 183, 126, 676, 122
1. What is the LCM of 138, 183, 126, 676, 122?
Answer: LCM of 138, 183, 126, 676, 122 is 59750964.
2. How to calculate the LCM of 138, 183, 126, 676, 122?
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 138, 183, 126, 676, 122.
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}.