LCM of 315, 687, 285, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 687, 285, 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 315, 687, 285, 978. So, keep reading to learn more.
Given numbers are 315,687,285,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,687,285,978 is 446804190.
Find LCM of 315,687,285,978 with Prime Factorization
| 3 | 315, 687, 285, 978 |
| 5 | 105, 229, 95, 326 |
| 21, 229, 19, 326 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 21 x 229 x 19 x 326 = 446804190
Therefore, the lowest common multiple of 315,687,285,978 is 446804190.
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.
315 x 687 x 285 x 978 = 60318565650
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
687 : 1, 3, 229, 687
285 : 1, 3, 5, 15, 19, 57, 95, 285
978 : 1, 2, 3, 6, 163, 326, 489, 978
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,687,285,978, is 3.
Now, the common factors can be found like this.
315:3x 3x 5x 7
687:3x 229
285:3x 5x 19
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.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 60318565650/(3x45)
LCM = 60318565650/135
LCM = 446804190
Thus, we can understand that the LCM of 315,687,285,978 is 446804190.
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FAQs on LCM of 315, 687, 285, 978
1. What is the LCM of 315, 687, 285, 978?
Answer: LCM of 315, 687, 285, 978 is 446804190.
2. How to calculate the LCM of 315, 687, 285, 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 315, 687, 285, 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}.