LCM of 174, 715, 920, 132, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 715, 920, 132, 871 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 174, 715, 920, 132, 871. So, keep reading to learn more.
Given numbers are 174,715,920,132,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,715,920,132,871 is 766863240.
Find LCM of 174,715,920,132,871 with Prime Factorization
| 2 | 174, 715, 920, 132, 871 |
| 2 | 87, 715, 460, 66, 871 |
| 3 | 87, 715, 230, 33, 871 |
| 5 | 29, 715, 230, 11, 871 |
| 11 | 29, 143, 46, 11, 871 |
| 13 | 29, 13, 46, 1, 871 |
| 29, 1, 46, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 13 x 29 x 1 x 46 x 1 x 67 = 766863240
Therefore, the lowest common multiple of 174,715,920,132,871 is 766863240.
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.
174 x 715 x 920 x 132 x 871 = 13159373198400
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
715 : 1, 5, 11, 13, 55, 65, 143, 715
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,715,920,132,871, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
715:5x 11x 13
920:2x 2x 2x 5x 23
132:2x 2x 3x 11
871:13x 67
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 2x 3x 5x 11x 13 = 17160
Therefore, the value for common factors is 17160.
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 = 13159373198400/(1x17160)
LCM = 13159373198400/17160
LCM = 766863240
Thus, we can understand that the LCM of 174,715,920,132,871 is 766863240.
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FAQs on LCM of 174, 715, 920, 132, 871
1. What is the LCM of 174, 715, 920, 132, 871?
Answer: LCM of 174, 715, 920, 132, 871 is 766863240.
2. How to calculate the LCM of 174, 715, 920, 132, 871?
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 174, 715, 920, 132, 871.
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}.