LCM of 825, 703, 705, 264, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 703, 705, 264, 282 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, 703, 705, 264, 282. So, keep reading to learn more.
Given numbers are 825,703,705,264,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,703,705,264,282 is 218070600.
Find LCM of 825,703,705,264,282 with Prime Factorization
| 2 | 825, 703, 705, 264, 282 |
| 3 | 825, 703, 705, 132, 141 |
| 5 | 275, 703, 235, 44, 47 |
| 11 | 55, 703, 47, 44, 47 |
| 47 | 5, 703, 47, 4, 47 |
| 5, 703, 1, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 47 x 5 x 703 x 1 x 4 x 1 = 218070600
Therefore, the lowest common multiple of 825,703,705,264,282 is 218070600.
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 703 x 705 x 264 x 282 = 30440475054000
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
703 : 1, 19, 37, 703
705 : 1, 3, 5, 15, 47, 141, 235, 705
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,703,705,264,282, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
703:19x 37
705:3x 5x 47
264:2x 2x 2x 3x 11
282:2x 3x 47
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 11x 47 = 139590
Therefore, the value for common factors is 139590.
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 = 30440475054000/(1x139590)
LCM = 30440475054000/139590
LCM = 218070600
Thus, we can understand that the LCM of 825,703,705,264,282 is 218070600.
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FAQs on LCM of 825, 703, 705, 264, 282
1. What is the LCM of 825, 703, 705, 264, 282?
Answer: LCM of 825, 703, 705, 264, 282 is 218070600.
2. How to calculate the LCM of 825, 703, 705, 264, 282?
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, 703, 705, 264, 282.
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}.