LCM of 315, 548, 420, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 548, 420, 685 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, 548, 420, 685. So, keep reading to learn more.
Given numbers are 315,548,420,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,548,420,685 is 172620.
Find LCM of 315,548,420,685 with Prime Factorization
| 2 | 315, 548, 420, 685 |
| 2 | 315, 274, 210, 685 |
| 3 | 315, 137, 105, 685 |
| 5 | 35, 137, 105, 685 |
| 7 | 7, 137, 21, 137 |
| 137 | 1, 137, 3, 137 |
| 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 137 x 1 x 1 x 3 x 1 = 172620
Therefore, the lowest common multiple of 315,548,420,685 is 172620.
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 548 x 420 x 685 = 49662774000
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
548 : 1, 2, 4, 137, 274, 548
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,548,420,685, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
548:2x 2x 137
420:2x 2x 3x 5x 7
685:5x 137
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 3x 5x 5x 7x 137 = 287700
Therefore, the value for common factors is 287700.
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 = 49662774000/(1x287700)
LCM = 49662774000/287700
LCM = 172620
Thus, we can understand that the LCM of 315,548,420,685 is 172620.
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FAQs on LCM of 315, 548, 420, 685
1. What is the LCM of 315, 548, 420, 685?
Answer: LCM of 315, 548, 420, 685 is 172620.
2. How to calculate the LCM of 315, 548, 420, 685?
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, 548, 420, 685.
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}.