LCM of 525, 135, 138, 185, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 135, 138, 185, 963 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, 135, 138, 185, 963. So, keep reading to learn more.
Given numbers are 525,135,138,185,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,135,138,185,963 is 860488650.
Find LCM of 525,135,138,185,963 with Prime Factorization
| 3 | 525, 135, 138, 185, 963 |
| 3 | 175, 45, 46, 185, 321 |
| 5 | 175, 15, 46, 185, 107 |
| 35, 3, 46, 37, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 35 x 3 x 46 x 37 x 107 = 860488650
Therefore, the lowest common multiple of 525,135,138,185,963 is 860488650.
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 135 x 138 x 185 x 963 = 1742489516250
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
138 : 1, 2, 3, 6, 23, 46, 69, 138
185 : 1, 5, 37, 185
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,135,138,185,963, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
135:3x 3x 3x 5
138:2x 3x 23
185:5x 37
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 1742489516250/(1x2025)
LCM = 1742489516250/2025
LCM = 860488650
Thus, we can understand that the LCM of 525,135,138,185,963 is 860488650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 525, 135, 138, 185, 963
1. What is the LCM of 525, 135, 138, 185, 963?
Answer: LCM of 525, 135, 138, 185, 963 is 860488650.
2. How to calculate the LCM of 525, 135, 138, 185, 963?
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, 135, 138, 185, 963.
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}.