LCM of 316, 966, 560, 483, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 316, 966, 560, 483, 850 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 316, 966, 560, 483, 850. So, keep reading to learn more.
Given numbers are 316,966,560,483,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,966,560,483,850 is 259467600.
Find LCM of 316,966,560,483,850 with Prime Factorization
| 2 | 316, 966, 560, 483, 850 |
| 2 | 158, 483, 280, 483, 425 |
| 3 | 79, 483, 140, 483, 425 |
| 5 | 79, 161, 140, 161, 425 |
| 7 | 79, 161, 28, 161, 85 |
| 23 | 79, 23, 4, 23, 85 |
| 79, 1, 4, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 23 x 79 x 1 x 4 x 1 x 85 = 259467600
Therefore, the lowest common multiple of 316,966,560,483,850 is 259467600.
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.
316 x 966 x 560 x 483 x 850 = 70180796448000
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.
316 : 1, 2, 4, 79, 158, 316
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
483 : 1, 3, 7, 21, 23, 69, 161, 483
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,966,560,483,850, is 1.
Now, the common factors can be found like this.
316:2x 2x 79
966:2x 3x 7x 23
560:2x 2x 2x 2x 5x 7
483:3x 7x 23
850:2x 5x 5x 17
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 2x 3x 5x 7x 7x 23 = 270480
Therefore, the value for common factors is 270480.
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 = 70180796448000/(1x270480)
LCM = 70180796448000/270480
LCM = 259467600
Thus, we can understand that the LCM of 316,966,560,483,850 is 259467600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 316, 966, 560, 483, 850
1. What is the LCM of 316, 966, 560, 483, 850?
Answer: LCM of 316, 966, 560, 483, 850 is 259467600.
2. How to calculate the LCM of 316, 966, 560, 483, 850?
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 316, 966, 560, 483, 850.
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}.