LCM of 904, 595, 856, 738, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 595, 856, 738, 369 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 904, 595, 856, 738, 369. So, keep reading to learn more.
Given numbers are 904,595,856,738,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,595,856,738,369 is 21237116040.
Find LCM of 904,595,856,738,369 with Prime Factorization
| 2 | 904, 595, 856, 738, 369 |
| 2 | 452, 595, 428, 369, 369 |
| 2 | 226, 595, 214, 369, 369 |
| 3 | 113, 595, 107, 369, 369 |
| 3 | 113, 595, 107, 123, 123 |
| 41 | 113, 595, 107, 41, 41 |
| 113, 595, 107, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 41 x 113 x 595 x 107 x 1 x 1 = 21237116040
Therefore, the lowest common multiple of 904,595,856,738,369 is 21237116040.
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.
904 x 595 x 856 x 738 x 369 = 125383933100160
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
595 : 1, 5, 7, 17, 35, 85, 119, 595
856 : 1, 2, 4, 8, 107, 214, 428, 856
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,595,856,738,369, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
595:5x 7x 17
856:2x 2x 2x 107
738:2x 3x 3x 41
369:3x 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 2x 2x 3x 3x 41 = 5904
Therefore, the value for common factors is 5904.
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 = 125383933100160/(1x5904)
LCM = 125383933100160/5904
LCM = 21237116040
Thus, we can understand that the LCM of 904,595,856,738,369 is 21237116040.
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FAQs on LCM of 904, 595, 856, 738, 369
1. What is the LCM of 904, 595, 856, 738, 369?
Answer: LCM of 904, 595, 856, 738, 369 is 21237116040.
2. How to calculate the LCM of 904, 595, 856, 738, 369?
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 904, 595, 856, 738, 369.
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}.