LCM of 282, 684, 431, 369, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 684, 431, 369, 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, 684, 431, 369, 738. So, keep reading to learn more.
Given numbers are 282,684,431,369,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,684,431,369,738 is 568087308.
Find LCM of 282,684,431,369,738 with Prime Factorization
| 2 | 282, 684, 431, 369, 738 |
| 3 | 141, 342, 431, 369, 369 |
| 3 | 47, 114, 431, 123, 123 |
| 41 | 47, 38, 431, 41, 41 |
| 47, 38, 431, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 47 x 38 x 431 x 1 x 1 = 568087308
Therefore, the lowest common multiple of 282,684,431,369,738 is 568087308.
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 684 x 431 x 369 x 738 = 22639415398416
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
431 : 1, 431
369 : 1, 3, 9, 41, 123, 369
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 282,684,431,369,738, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
684:2x 2x 3x 3x 19
431:431
369:3x 3x 41
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 3x 3x 41 = 39852
Therefore, the value for common factors is 39852.
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 = 22639415398416/(1x39852)
LCM = 22639415398416/39852
LCM = 568087308
Thus, we can understand that the LCM of 282,684,431,369,738 is 568087308.
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FAQs on LCM of 282, 684, 431, 369, 738
1. What is the LCM of 282, 684, 431, 369, 738?
Answer: LCM of 282, 684, 431, 369, 738 is 568087308.
2. How to calculate the LCM of 282, 684, 431, 369, 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, 684, 431, 369, 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}.