LCM of 311, 596, 611, 978, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 596, 611, 978, 647 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 311, 596, 611, 978, 647. So, keep reading to learn more.
Given numbers are 311,596,611,978,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,596,611,978,647 is 35831170769628.
Find LCM of 311,596,611,978,647 with Prime Factorization
| 2 | 311, 596, 611, 978, 647 |
| 311, 298, 611, 489, 647 |
Multiply the prime numbers at the bottom and the left side.
2 x 311 x 298 x 611 x 489 x 647 = 35831170769628
Therefore, the lowest common multiple of 311,596,611,978,647 is 35831170769628.
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.
311 x 596 x 611 x 978 x 647 = 71662341539256
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.
311 : 1, 311
596 : 1, 2, 4, 149, 298, 596
611 : 1, 13, 47, 611
978 : 1, 2, 3, 6, 163, 326, 489, 978
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,596,611,978,647, is 1.
Now, the common factors can be found like this.
311:311
596:2x 2x 149
611:13x 47
978:2x 3x 163
647:647
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 71662341539256/(1x2)
LCM = 71662341539256/2
LCM = 35831170769628
Thus, we can understand that the LCM of 311,596,611,978,647 is 35831170769628.
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FAQs on LCM of 311, 596, 611, 978, 647
1. What is the LCM of 311, 596, 611, 978, 647?
Answer: LCM of 311, 596, 611, 978, 647 is 35831170769628.
2. How to calculate the LCM of 311, 596, 611, 978, 647?
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 311, 596, 611, 978, 647.
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}.