LCM of 738, 259, 871, 120, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 259, 871, 120, 735 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 738, 259, 871, 120, 735. So, keep reading to learn more.
Given numbers are 738,259,871,120,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,259,871,120,735 is 23307855480.
Find LCM of 738,259,871,120,735 with Prime Factorization
| 2 | 738, 259, 871, 120, 735 |
| 3 | 369, 259, 871, 60, 735 |
| 5 | 123, 259, 871, 20, 245 |
| 7 | 123, 259, 871, 4, 49 |
| 123, 37, 871, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 123 x 37 x 871 x 4 x 7 = 23307855480
Therefore, the lowest common multiple of 738,259,871,120,735 is 23307855480.
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.
738 x 259 x 871 x 120 x 735 = 14683948952400
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
259 : 1, 7, 37, 259
871 : 1, 13, 67, 871
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,259,871,120,735, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
259:7x 37
871:13x 67
120:2x 2x 2x 3x 5
735:3x 5x 7x 7
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 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 14683948952400/(1x630)
LCM = 14683948952400/630
LCM = 23307855480
Thus, we can understand that the LCM of 738,259,871,120,735 is 23307855480.
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FAQs on LCM of 738, 259, 871, 120, 735
1. What is the LCM of 738, 259, 871, 120, 735?
Answer: LCM of 738, 259, 871, 120, 735 is 23307855480.
2. How to calculate the LCM of 738, 259, 871, 120, 735?
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 738, 259, 871, 120, 735.
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}.