LCM of 541, 104, 120, 400, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 104, 120, 400, 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 541, 104, 120, 400, 675. So, keep reading to learn more.
Given numbers are 541,104,120,400,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,104,120,400,675 is 75956400.
Find LCM of 541,104,120,400,675 with Prime Factorization
| 2 | 541, 104, 120, 400, 675 |
| 2 | 541, 52, 60, 200, 675 |
| 2 | 541, 26, 30, 100, 675 |
| 3 | 541, 13, 15, 50, 675 |
| 5 | 541, 13, 5, 50, 225 |
| 5 | 541, 13, 1, 10, 45 |
| 541, 13, 1, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 541 x 13 x 1 x 2 x 9 = 75956400
Therefore, the lowest common multiple of 541,104,120,400,675 is 75956400.
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.
541 x 104 x 120 x 400 x 675 = 1822953600000
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.
541 : 1, 541
104 : 1, 2, 4, 8, 13, 26, 52, 104
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 541,104,120,400,675, is 1.
Now, the common factors can be found like this.
541:541
104:2x 2x 2x 13
120:2x 2x 2x 3x 5
400:2x 2x 2x 2x 5x 5
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 2x 2x 2x 3x 5x 5x 5 = 24000
Therefore, the value for common factors is 24000.
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 = 1822953600000/(1x24000)
LCM = 1822953600000/24000
LCM = 75956400
Thus, we can understand that the LCM of 541,104,120,400,675 is 75956400.
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FAQs on LCM of 541, 104, 120, 400, 675
1. What is the LCM of 541, 104, 120, 400, 675?
Answer: LCM of 541, 104, 120, 400, 675 is 75956400.
2. How to calculate the LCM of 541, 104, 120, 400, 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 541, 104, 120, 400, 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}.