LCM of 536, 369, 407, 481, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 536, 369, 407, 481, 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 536, 369, 407, 481, 738. So, keep reading to learn more.
Given numbers are 536,369,407,481,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,369,407,481,738 is 1046475144.
Find LCM of 536,369,407,481,738 with Prime Factorization
| 2 | 536, 369, 407, 481, 738 |
| 3 | 268, 369, 407, 481, 369 |
| 3 | 268, 123, 407, 481, 123 |
| 37 | 268, 41, 407, 481, 41 |
| 41 | 268, 41, 11, 13, 41 |
| 268, 1, 11, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 41 x 268 x 1 x 11 x 13 x 1 = 1046475144
Therefore, the lowest common multiple of 536,369,407,481,738 is 1046475144.
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.
536 x 369 x 407 x 481 x 738 = 28575050282064
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
369 : 1, 3, 9, 41, 123, 369
407 : 1, 11, 37, 407
481 : 1, 13, 37, 481
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 536,369,407,481,738, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
369:3x 3x 41
407:11x 37
481:13x 37
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 3x 3x 37x 41 = 27306
Therefore, the value for common factors is 27306.
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 = 28575050282064/(1x27306)
LCM = 28575050282064/27306
LCM = 1046475144
Thus, we can understand that the LCM of 536,369,407,481,738 is 1046475144.
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FAQs on LCM of 536, 369, 407, 481, 738
1. What is the LCM of 536, 369, 407, 481, 738?
Answer: LCM of 536, 369, 407, 481, 738 is 1046475144.
2. How to calculate the LCM of 536, 369, 407, 481, 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 536, 369, 407, 481, 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}.