LCM of 540, 408, 334, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 408, 334, 675 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 540, 408, 334, 675. So, keep reading to learn more.
Given numbers are 540,408,334,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,408,334,675 is 15330600.
Find LCM of 540,408,334,675 with Prime Factorization
| 2 | 540, 408, 334, 675 |
| 2 | 270, 204, 167, 675 |
| 3 | 135, 102, 167, 675 |
| 3 | 45, 34, 167, 225 |
| 3 | 15, 34, 167, 75 |
| 5 | 5, 34, 167, 25 |
| 1, 34, 167, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 1 x 34 x 167 x 5 = 15330600
Therefore, the lowest common multiple of 540,408,334,675 is 15330600.
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.
540 x 408 x 334 x 675 = 49671144000
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.
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
334 : 1, 2, 167, 334
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,408,334,675, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
408:2x 2x 2x 3x 17
334:2x 167
675:3x 3x 3x 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 2x 2x 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 49671144000/(1x3240)
LCM = 49671144000/3240
LCM = 15330600
Thus, we can understand that the LCM of 540,408,334,675 is 15330600.
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FAQs on LCM of 540, 408, 334, 675
1. What is the LCM of 540, 408, 334, 675?
Answer: LCM of 540, 408, 334, 675 is 15330600.
2. How to calculate the LCM of 540, 408, 334, 675?
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 540, 408, 334, 675.
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}.