LCM of 140, 540, 270, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 540, 270, 415 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 140, 540, 270, 415. So, keep reading to learn more.
Given numbers are 140,540,270,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,540,270,415 is 313740.
Find LCM of 140,540,270,415 with Prime Factorization
| 2 | 140, 540, 270, 415 |
| 2 | 70, 270, 135, 415 |
| 3 | 35, 135, 135, 415 |
| 3 | 35, 45, 45, 415 |
| 3 | 35, 15, 15, 415 |
| 5 | 35, 5, 5, 415 |
| 7, 1, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 7 x 1 x 1 x 83 = 313740
Therefore, the lowest common multiple of 140,540,270,415 is 313740.
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.
140 x 540 x 270 x 415 = 8470980000
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
415 : 1, 5, 83, 415
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,540,270,415, is 5.
Now, the common factors can be found like this.
140:2x 2x 5x 7
540:2x 2x 3x 3x 3x 5
270:2x 3x 3x 3x 5
415:5x 83
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 5x 5 = 5400
Therefore, the value for common factors is 5400.
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 = 8470980000/(5x5400)
LCM = 8470980000/27000
LCM = 313740
Thus, we can understand that the LCM of 140,540,270,415 is 313740.
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FAQs on LCM of 140, 540, 270, 415
1. What is the LCM of 140, 540, 270, 415?
Answer: LCM of 140, 540, 270, 415 is 313740.
2. How to calculate the LCM of 140, 540, 270, 415?
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 140, 540, 270, 415.
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}.