LCM of 525, 580, 648, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 580, 648, 135 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 525, 580, 648, 135. So, keep reading to learn more.
Given numbers are 525,580,648,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,580,648,135 is 3288600.
Find LCM of 525,580,648,135 with Prime Factorization
| 2 | 525, 580, 648, 135 |
| 2 | 525, 290, 324, 135 |
| 3 | 525, 145, 162, 135 |
| 3 | 175, 145, 54, 45 |
| 3 | 175, 145, 18, 15 |
| 5 | 175, 145, 6, 5 |
| 35, 29, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 35 x 29 x 6 x 1 = 3288600
Therefore, the lowest common multiple of 525,580,648,135 is 3288600.
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.
525 x 580 x 648 x 135 = 26637660000
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,580,648,135, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
580:2x 2x 5x 29
648:2x 2x 2x 3x 3x 3x 3
135:3x 3x 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 3x 3x 3x 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 26637660000/(1x8100)
LCM = 26637660000/8100
LCM = 3288600
Thus, we can understand that the LCM of 525,580,648,135 is 3288600.
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FAQs on LCM of 525, 580, 648, 135
1. What is the LCM of 525, 580, 648, 135?
Answer: LCM of 525, 580, 648, 135 is 3288600.
2. How to calculate the LCM of 525, 580, 648, 135?
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 525, 580, 648, 135.
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}.