LCM of 450, 612, 625, 381, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 612, 625, 381, 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 450, 612, 625, 381, 282. So, keep reading to learn more.
Given numbers are 450,612,625,381,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,612,625,381,282 is 2283142500.
Find LCM of 450,612,625,381,282 with Prime Factorization
| 2 | 450, 612, 625, 381, 282 |
| 3 | 225, 306, 625, 381, 141 |
| 3 | 75, 102, 625, 127, 47 |
| 5 | 25, 34, 625, 127, 47 |
| 5 | 5, 34, 125, 127, 47 |
| 1, 34, 25, 127, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 1 x 34 x 25 x 127 x 47 = 2283142500
Therefore, the lowest common multiple of 450,612,625,381,282 is 2283142500.
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.
450 x 612 x 625 x 381 x 282 = 18493454250000
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
625 : 1, 5, 25, 125, 625
381 : 1, 3, 127, 381
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 450,612,625,381,282, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
612:2x 2x 3x 3x 17
625:5x 5x 5x 5
381:3x 127
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 2x 3x 3x 3x 3x 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 18493454250000/(1x8100)
LCM = 18493454250000/8100
LCM = 2283142500
Thus, we can understand that the LCM of 450,612,625,381,282 is 2283142500.
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FAQs on LCM of 450, 612, 625, 381, 282
1. What is the LCM of 450, 612, 625, 381, 282?
Answer: LCM of 450, 612, 625, 381, 282 is 2283142500.
2. How to calculate the LCM of 450, 612, 625, 381, 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 450, 612, 625, 381, 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}.