LCM of 282, 135, 156, 647, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 135, 156, 647, 738 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, 135, 156, 647, 738. So, keep reading to learn more.
Given numbers are 282,135,156,647,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,135,156,647,738 is 8752318380.
Find LCM of 282,135,156,647,738 with Prime Factorization
| 2 | 282, 135, 156, 647, 738 |
| 3 | 141, 135, 78, 647, 369 |
| 3 | 47, 45, 26, 647, 123 |
| 47, 15, 26, 647, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 15 x 26 x 647 x 41 = 8752318380
Therefore, the lowest common multiple of 282,135,156,647,738 is 8752318380.
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 135 x 156 x 647 x 738 = 2835751155120
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
647 : 1, 647
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,135,156,647,738, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
135:3x 3x 3x 5
156:2x 2x 3x 13
647:647
738:2x 3x 3x 41
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 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 2835751155120/(1x324)
LCM = 2835751155120/324
LCM = 8752318380
Thus, we can understand that the LCM of 282,135,156,647,738 is 8752318380.
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FAQs on LCM of 282, 135, 156, 647, 738
1. What is the LCM of 282, 135, 156, 647, 738?
Answer: LCM of 282, 135, 156, 647, 738 is 8752318380.
2. How to calculate the LCM of 282, 135, 156, 647, 738?
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, 135, 156, 647, 738.
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}.