LCM of 871, 321, 741, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 321, 741, 749 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 871, 321, 741, 749. So, keep reading to learn more.
Given numbers are 871,321,741,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,321,741,749 is 37185603.
Find LCM of 871,321,741,749 with Prime Factorization
| 3 | 871, 321, 741, 749 |
| 13 | 871, 107, 247, 749 |
| 107 | 67, 107, 19, 749 |
| 67, 1, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 107 x 67 x 1 x 19 x 7 = 37185603
Therefore, the lowest common multiple of 871,321,741,749 is 37185603.
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.
871 x 321 x 741 x 749 = 155175521319
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.
871 : 1, 13, 67, 871
321 : 1, 3, 107, 321
741 : 1, 3, 13, 19, 39, 57, 247, 741
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,321,741,749, is 1.
Now, the common factors can be found like this.
871:13x 67
321:3x 107
741:3x 13x 19
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 107 = 4173
Therefore, the value for common factors is 4173.
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 = 155175521319/(1x4173)
LCM = 155175521319/4173
LCM = 37185603
Thus, we can understand that the LCM of 871,321,741,749 is 37185603.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 321, 741, 749
1. What is the LCM of 871, 321, 741, 749?
Answer: LCM of 871, 321, 741, 749 is 37185603.
2. How to calculate the LCM of 871, 321, 741, 749?
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 871, 321, 741, 749.
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}.