LCM of 282, 547, 630, 525, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 547, 630, 525, 800 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 282, 547, 630, 525, 800. So, keep reading to learn more.
Given numbers are 282,547,630,525,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,547,630,525,800 is 1295733600.
Find LCM of 282,547,630,525,800 with Prime Factorization
| 2 | 282, 547, 630, 525, 800 |
| 3 | 141, 547, 315, 525, 400 |
| 5 | 47, 547, 105, 175, 400 |
| 5 | 47, 547, 21, 35, 80 |
| 7 | 47, 547, 21, 7, 16 |
| 47, 547, 3, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 47 x 547 x 3 x 1 x 16 = 1295733600
Therefore, the lowest common multiple of 282,547,630,525,800 is 1295733600.
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.
282 x 547 x 630 x 525 x 800 = 40815608400000
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
547 : 1, 547
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,547,630,525,800, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
547:547
630:2x 3x 3x 5x 7
525:3x 5x 5x 7
800:2x 2x 2x 2x 2x 5x 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 5x 5x 5x 7 = 31500
Therefore, the value for common factors is 31500.
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 = 40815608400000/(1x31500)
LCM = 40815608400000/31500
LCM = 1295733600
Thus, we can understand that the LCM of 282,547,630,525,800 is 1295733600.
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FAQs on LCM of 282, 547, 630, 525, 800
1. What is the LCM of 282, 547, 630, 525, 800?
Answer: LCM of 282, 547, 630, 525, 800 is 1295733600.
2. How to calculate the LCM of 282, 547, 630, 525, 800?
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 282, 547, 630, 525, 800.
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}.