LCM of 812, 991, 132, 300, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 991, 132, 300, 138 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 812, 991, 132, 300, 138. So, keep reading to learn more.
Given numbers are 812,991,132,300,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,991,132,300,138 is 15269030700.
Find LCM of 812,991,132,300,138 with Prime Factorization
| 2 | 812, 991, 132, 300, 138 |
| 2 | 406, 991, 66, 150, 69 |
| 3 | 203, 991, 33, 75, 69 |
| 203, 991, 11, 25, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 203 x 991 x 11 x 25 x 23 = 15269030700
Therefore, the lowest common multiple of 812,991,132,300,138 is 15269030700.
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.
812 x 991 x 132 x 300 x 138 = 4397480841600
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
991 : 1, 991
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,991,132,300,138, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
991:991
132:2x 2x 3x 11
300:2x 2x 3x 5x 5
138:2x 3x 23
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 4397480841600/(1x288)
LCM = 4397480841600/288
LCM = 15269030700
Thus, we can understand that the LCM of 812,991,132,300,138 is 15269030700.
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FAQs on LCM of 812, 991, 132, 300, 138
1. What is the LCM of 812, 991, 132, 300, 138?
Answer: LCM of 812, 991, 132, 300, 138 is 15269030700.
2. How to calculate the LCM of 812, 991, 132, 300, 138?
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 812, 991, 132, 300, 138.
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}.