LCM of 187, 396, 538, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 396, 538, 759 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, 396, 538, 759. So, keep reading to learn more.
Given numbers are 187,396,538,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,396,538,759 is 41650884.
Find LCM of 187,396,538,759 with Prime Factorization
| 2 | 187, 396, 538, 759 |
| 3 | 187, 198, 269, 759 |
| 11 | 187, 66, 269, 253 |
| 17, 6, 269, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 6 x 269 x 23 = 41650884
Therefore, the lowest common multiple of 187,396,538,759 is 41650884.
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 396 x 538 x 759 = 30238541784
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
538 : 1, 2, 269, 538
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,396,538,759, is 1.
Now, the common factors can be found like this.
187:11x 17
396:2x 2x 3x 3x 11
538:2x 269
759:3x 11x 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 3x 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 30238541784/(1x726)
LCM = 30238541784/726
LCM = 41650884
Thus, we can understand that the LCM of 187,396,538,759 is 41650884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 396, 538, 759
1. What is the LCM of 187, 396, 538, 759?
Answer: LCM of 187, 396, 538, 759 is 41650884.
2. How to calculate the LCM of 187, 396, 538, 759?
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, 396, 538, 759.
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}.