LCM of 185, 100, 962, 381, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 185, 100, 962, 381, 130 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 185, 100, 962, 381, 130. So, keep reading to learn more.
Given numbers are 185,100,962,381,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,100,962,381,130 is 18326100.
Find LCM of 185,100,962,381,130 with Prime Factorization
| 2 | 185, 100, 962, 381, 130 |
| 5 | 185, 50, 481, 381, 65 |
| 13 | 37, 10, 481, 381, 13 |
| 37 | 37, 10, 37, 381, 1 |
| 1, 10, 1, 381, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 37 x 1 x 10 x 1 x 381 x 1 = 18326100
Therefore, the lowest common multiple of 185,100,962,381,130 is 18326100.
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.
185 x 100 x 962 x 381 x 130 = 881485410000
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.
185 : 1, 5, 37, 185
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
962 : 1, 2, 13, 26, 37, 74, 481, 962
381 : 1, 3, 127, 381
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,100,962,381,130, is 1.
Now, the common factors can be found like this.
185:5x 37
100:2x 2x 5x 5
962:2x 13x 37
381:3x 127
130:2x 5x 13
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 5x 5x 13x 37 = 48100
Therefore, the value for common factors is 48100.
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 = 881485410000/(1x48100)
LCM = 881485410000/48100
LCM = 18326100
Thus, we can understand that the LCM of 185,100,962,381,130 is 18326100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 185, 100, 962, 381, 130
1. What is the LCM of 185, 100, 962, 381, 130?
Answer: LCM of 185, 100, 962, 381, 130 is 18326100.
2. How to calculate the LCM of 185, 100, 962, 381, 130?
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 185, 100, 962, 381, 130.
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}.