LCM of 715, 978, 871, 406, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 978, 871, 406, 828 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 715, 978, 871, 406, 828. So, keep reading to learn more.
Given numbers are 715,978,871,406,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,978,871,406,828 is 1312486435260.
Find LCM of 715,978,871,406,828 with Prime Factorization
| 2 | 715, 978, 871, 406, 828 |
| 3 | 715, 489, 871, 203, 414 |
| 13 | 715, 163, 871, 203, 138 |
| 55, 163, 67, 203, 138 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 55 x 163 x 67 x 203 x 138 = 1312486435260
Therefore, the lowest common multiple of 715,978,871,406,828 is 1312486435260.
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.
715 x 978 x 871 x 406 x 828 = 204747883900560
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
978 : 1, 2, 3, 6, 163, 326, 489, 978
871 : 1, 13, 67, 871
406 : 1, 2, 7, 14, 29, 58, 203, 406
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,978,871,406,828, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
978:2x 3x 163
871:13x 67
406:2x 7x 29
828:2x 2x 3x 3x 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 2x 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 204747883900560/(1x156)
LCM = 204747883900560/156
LCM = 1312486435260
Thus, we can understand that the LCM of 715,978,871,406,828 is 1312486435260.
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FAQs on LCM of 715, 978, 871, 406, 828
1. What is the LCM of 715, 978, 871, 406, 828?
Answer: LCM of 715, 978, 871, 406, 828 is 1312486435260.
2. How to calculate the LCM of 715, 978, 871, 406, 828?
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 715, 978, 871, 406, 828.
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}.