LCM of 533, 775, 205, 300, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 775, 205, 300, 120 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 533, 775, 205, 300, 120. So, keep reading to learn more.
Given numbers are 533,775,205,300,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,775,205,300,120 is 9913800.
Find LCM of 533,775,205,300,120 with Prime Factorization
| 2 | 533, 775, 205, 300, 120 |
| 2 | 533, 775, 205, 150, 60 |
| 3 | 533, 775, 205, 75, 30 |
| 5 | 533, 775, 205, 25, 10 |
| 5 | 533, 155, 41, 5, 2 |
| 41 | 533, 31, 41, 1, 2 |
| 13, 31, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 41 x 13 x 31 x 1 x 1 x 2 = 9913800
Therefore, the lowest common multiple of 533,775,205,300,120 is 9913800.
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.
533 x 775 x 205 x 300 x 120 = 3048493500000
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.
533 : 1, 13, 41, 533
775 : 1, 5, 25, 31, 155, 775
205 : 1, 5, 41, 205
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,775,205,300,120, is 1.
Now, the common factors can be found like this.
533:13x 41
775:5x 5x 31
205:5x 41
300:2x 2x 3x 5x 5
120:2x 2x 2x 3x 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 3x 5x 5x 5x 5x 41 = 307500
Therefore, the value for common factors is 307500.
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 = 3048493500000/(1x307500)
LCM = 3048493500000/307500
LCM = 9913800
Thus, we can understand that the LCM of 533,775,205,300,120 is 9913800.
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FAQs on LCM of 533, 775, 205, 300, 120
1. What is the LCM of 533, 775, 205, 300, 120?
Answer: LCM of 533, 775, 205, 300, 120 is 9913800.
2. How to calculate the LCM of 533, 775, 205, 300, 120?
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 533, 775, 205, 300, 120.
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}.