LCM of 317, 526, 611, 520, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 526, 611, 520, 977 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 317, 526, 611, 520, 977. So, keep reading to learn more.
Given numbers are 317,526,611,520,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,526,611,520,977 is 1990722733480.
Find LCM of 317,526,611,520,977 with Prime Factorization
| 2 | 317, 526, 611, 520, 977 |
| 13 | 317, 263, 611, 260, 977 |
| 317, 263, 47, 20, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 317 x 263 x 47 x 20 x 977 = 1990722733480
Therefore, the lowest common multiple of 317,526,611,520,977 is 1990722733480.
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.
317 x 526 x 611 x 520 x 977 = 51758791070480
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.
317 : 1, 317
526 : 1, 2, 263, 526
611 : 1, 13, 47, 611
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,526,611,520,977, is 1.
Now, the common factors can be found like this.
317:317
526:2x 263
611:13x 47
520:2x 2x 2x 5x 13
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 51758791070480/(1x26)
LCM = 51758791070480/26
LCM = 1990722733480
Thus, we can understand that the LCM of 317,526,611,520,977 is 1990722733480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 317, 526, 611, 520, 977
1. What is the LCM of 317, 526, 611, 520, 977?
Answer: LCM of 317, 526, 611, 520, 977 is 1990722733480.
2. How to calculate the LCM of 317, 526, 611, 520, 977?
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 317, 526, 611, 520, 977.
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}.