LCM of 828, 330, 409, 525, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 330, 409, 525, 975 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 828, 330, 409, 525, 975. So, keep reading to learn more.
Given numbers are 828,330,409,525,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,330,409,525,975 is 8474766300.
Find LCM of 828,330,409,525,975 with Prime Factorization
| 2 | 828, 330, 409, 525, 975 |
| 3 | 414, 165, 409, 525, 975 |
| 5 | 138, 55, 409, 175, 325 |
| 5 | 138, 11, 409, 35, 65 |
| 138, 11, 409, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 138 x 11 x 409 x 7 x 13 = 8474766300
Therefore, the lowest common multiple of 828,330,409,525,975 is 8474766300.
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.
828 x 330 x 409 x 525 x 975 = 57204672525000
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
409 : 1, 409
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,330,409,525,975, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
330:2x 3x 5x 11
409:409
525:3x 5x 5x 7
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 57204672525000/(1x6750)
LCM = 57204672525000/6750
LCM = 8474766300
Thus, we can understand that the LCM of 828,330,409,525,975 is 8474766300.
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FAQs on LCM of 828, 330, 409, 525, 975
1. What is the LCM of 828, 330, 409, 525, 975?
Answer: LCM of 828, 330, 409, 525, 975 is 8474766300.
2. How to calculate the LCM of 828, 330, 409, 525, 975?
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 828, 330, 409, 525, 975.
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}.