LCM of 729, 130, 163, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 130, 163, 978 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 729, 130, 163, 978. So, keep reading to learn more.
Given numbers are 729,130,163,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,130,163,978 is 15447510.
Find LCM of 729,130,163,978 with Prime Factorization
| 2 | 729, 130, 163, 978 |
| 3 | 729, 65, 163, 489 |
| 163 | 243, 65, 163, 163 |
| 243, 65, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 243 x 65 x 1 x 1 = 15447510
Therefore, the lowest common multiple of 729,130,163,978 is 15447510.
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.
729 x 130 x 163 x 978 = 15107664780
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.
729 : 1, 3, 9, 27, 81, 243, 729
130 : 1, 2, 5, 10, 13, 26, 65, 130
163 : 1, 163
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,130,163,978, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
130:2x 5x 13
163:163
978:2x 3x 163
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 163 = 978
Therefore, the value for common factors is 978.
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 = 15107664780/(1x978)
LCM = 15107664780/978
LCM = 15447510
Thus, we can understand that the LCM of 729,130,163,978 is 15447510.
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FAQs on LCM of 729, 130, 163, 978
1. What is the LCM of 729, 130, 163, 978?
Answer: LCM of 729, 130, 163, 978 is 15447510.
2. How to calculate the LCM of 729, 130, 163, 978?
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 729, 130, 163, 978.
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}.