LCM of 187, 425, 538, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 425, 538, 892 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 187, 425, 538, 892. So, keep reading to learn more.
Given numbers are 187,425,538,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,425,538,892 is 1121756900.
Find LCM of 187,425,538,892 with Prime Factorization
| 2 | 187, 425, 538, 892 |
| 17 | 187, 425, 269, 446 |
| 11, 25, 269, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 11 x 25 x 269 x 446 = 1121756900
Therefore, the lowest common multiple of 187,425,538,892 is 1121756900.
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.
187 x 425 x 538 x 892 = 38139734600
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.
187 : 1, 11, 17, 187
425 : 1, 5, 17, 25, 85, 425
538 : 1, 2, 269, 538
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,425,538,892, is 1.
Now, the common factors can be found like this.
187:11x 17
425:5x 5x 17
538:2x 269
892:2x 2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 38139734600/(1x34)
LCM = 38139734600/34
LCM = 1121756900
Thus, we can understand that the LCM of 187,425,538,892 is 1121756900.
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FAQs on LCM of 187, 425, 538, 892
1. What is the LCM of 187, 425, 538, 892?
Answer: LCM of 187, 425, 538, 892 is 1121756900.
2. How to calculate the LCM of 187, 425, 538, 892?
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 187, 425, 538, 892.
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}.