LCM of 860, 945, 360, 315, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 945, 360, 315, 982 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 860, 945, 360, 315, 982. So, keep reading to learn more.
Given numbers are 860,945,360,315,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,945,360,315,982 is 159614280.
Find LCM of 860,945,360,315,982 with Prime Factorization
| 2 | 860, 945, 360, 315, 982 |
| 2 | 430, 945, 180, 315, 491 |
| 3 | 215, 945, 90, 315, 491 |
| 3 | 215, 105, 30, 315, 491 |
| 5 | 215, 35, 10, 105, 491 |
| 7 | 43, 7, 2, 21, 491 |
| 43, 1, 2, 3, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 43 x 1 x 2 x 3 x 491 = 159614280
Therefore, the lowest common multiple of 860,945,360,315,982 is 159614280.
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.
860 x 945 x 360 x 315 x 982 = 90501296760000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,945,360,315,982, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
945:3x 3x 3x 5x 7
360:2x 2x 2x 3x 3x 5
315:3x 3x 5x 7
982:2x 491
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 3x 3x 3x 3x 5x 5x 5x 7 = 567000
Therefore, the value for common factors is 567000.
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 = 90501296760000/(1x567000)
LCM = 90501296760000/567000
LCM = 159614280
Thus, we can understand that the LCM of 860,945,360,315,982 is 159614280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 860, 945, 360, 315, 982
1. What is the LCM of 860, 945, 360, 315, 982?
Answer: LCM of 860, 945, 360, 315, 982 is 159614280.
2. How to calculate the LCM of 860, 945, 360, 315, 982?
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 860, 945, 360, 315, 982.
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}.