LCM of 825, 920, 830, 483, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 920, 830, 483, 524 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 825, 920, 830, 483, 524. So, keep reading to learn more.
Given numbers are 825,920,830,483,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,920,830,483,524 is 11553649800.
Find LCM of 825,920,830,483,524 with Prime Factorization
| 2 | 825, 920, 830, 483, 524 |
| 2 | 825, 460, 415, 483, 262 |
| 3 | 825, 230, 415, 483, 131 |
| 5 | 275, 230, 415, 161, 131 |
| 23 | 55, 46, 83, 161, 131 |
| 55, 2, 83, 7, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 55 x 2 x 83 x 7 x 131 = 11553649800
Therefore, the lowest common multiple of 825,920,830,483,524 is 11553649800.
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.
825 x 920 x 830 x 483 x 524 = 159440367240000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
830 : 1, 2, 5, 10, 83, 166, 415, 830
483 : 1, 3, 7, 21, 23, 69, 161, 483
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,920,830,483,524, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
920:2x 2x 2x 5x 23
830:2x 5x 83
483:3x 7x 23
524:2x 2x 131
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 3x 5x 5x 23 = 13800
Therefore, the value for common factors is 13800.
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 = 159440367240000/(1x13800)
LCM = 159440367240000/13800
LCM = 11553649800
Thus, we can understand that the LCM of 825,920,830,483,524 is 11553649800.
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FAQs on LCM of 825, 920, 830, 483, 524
1. What is the LCM of 825, 920, 830, 483, 524?
Answer: LCM of 825, 920, 830, 483, 524 is 11553649800.
2. How to calculate the LCM of 825, 920, 830, 483, 524?
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 825, 920, 830, 483, 524.
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}.