LCM of 978, 540, 315, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 540, 315, 375 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 978, 540, 315, 375. So, keep reading to learn more.
Given numbers are 978,540,315,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,540,315,375 is 15403500.
Find LCM of 978,540,315,375 with Prime Factorization
| 2 | 978, 540, 315, 375 |
| 3 | 489, 270, 315, 375 |
| 3 | 163, 90, 105, 125 |
| 5 | 163, 30, 35, 125 |
| 163, 6, 7, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 163 x 6 x 7 x 25 = 15403500
Therefore, the lowest common multiple of 978,540,315,375 is 15403500.
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.
978 x 540 x 315 x 375 = 62384175000
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
375 : 1, 3, 5, 15, 25, 75, 125, 375
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,540,315,375, is 3.
Now, the common factors can be found like this.
978:2x 3x 163
540:2x 2x 3x 3x 3x 5
315:3x 3x 5x 7
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 62384175000/(3x1350)
LCM = 62384175000/4050
LCM = 15403500
Thus, we can understand that the LCM of 978,540,315,375 is 15403500.
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FAQs on LCM of 978, 540, 315, 375
1. What is the LCM of 978, 540, 315, 375?
Answer: LCM of 978, 540, 315, 375 is 15403500.
2. How to calculate the LCM of 978, 540, 315, 375?
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 978, 540, 315, 375.
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}.