LCM of 150, 713, 871, 804, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 150, 713, 871, 804, 442 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 150, 713, 871, 804, 442. So, keep reading to learn more.
Given numbers are 150,713,871,804,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,713,871,804,442 is 3167217300.
Find LCM of 150,713,871,804,442 with Prime Factorization
| 2 | 150, 713, 871, 804, 442 |
| 3 | 75, 713, 871, 402, 221 |
| 13 | 25, 713, 871, 134, 221 |
| 67 | 25, 713, 67, 134, 17 |
| 25, 713, 1, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 67 x 25 x 713 x 1 x 2 x 17 = 3167217300
Therefore, the lowest common multiple of 150,713,871,804,442 is 3167217300.
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.
150 x 713 x 871 x 804 x 442 = 33103755219600
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
713 : 1, 23, 31, 713
871 : 1, 13, 67, 871
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,713,871,804,442, is 1.
Now, the common factors can be found like this.
150:2x 3x 5x 5
713:23x 31
871:13x 67
804:2x 2x 3x 67
442:2x 13x 17
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 3x 13x 67 = 10452
Therefore, the value for common factors is 10452.
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 = 33103755219600/(1x10452)
LCM = 33103755219600/10452
LCM = 3167217300
Thus, we can understand that the LCM of 150,713,871,804,442 is 3167217300.
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FAQs on LCM of 150, 713, 871, 804, 442
1. What is the LCM of 150, 713, 871, 804, 442?
Answer: LCM of 150, 713, 871, 804, 442 is 3167217300.
2. How to calculate the LCM of 150, 713, 871, 804, 442?
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 150, 713, 871, 804, 442.
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}.