LCM of 934, 280, 950, 893, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 280, 950, 893, 505 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 934, 280, 950, 893, 505. So, keep reading to learn more.
Given numbers are 934,280,950,893,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,280,950,893,505 is 58968183400.
Find LCM of 934,280,950,893,505 with Prime Factorization
| 2 | 934, 280, 950, 893, 505 |
| 5 | 467, 140, 475, 893, 505 |
| 19 | 467, 28, 95, 893, 101 |
| 467, 28, 5, 47, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 467 x 28 x 5 x 47 x 101 = 58968183400
Therefore, the lowest common multiple of 934,280,950,893,505 is 58968183400.
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.
934 x 280 x 950 x 893 x 505 = 112039548460000
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.
934 : 1, 2, 467, 934
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
893 : 1, 19, 47, 893
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,280,950,893,505, is 1.
Now, the common factors can be found like this.
934:2x 467
280:2x 2x 2x 5x 7
950:2x 5x 5x 19
893:19x 47
505:5x 101
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 5x 5x 19 = 1900
Therefore, the value for common factors is 1900.
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 = 112039548460000/(1x1900)
LCM = 112039548460000/1900
LCM = 58968183400
Thus, we can understand that the LCM of 934,280,950,893,505 is 58968183400.
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FAQs on LCM of 934, 280, 950, 893, 505
1. What is the LCM of 934, 280, 950, 893, 505?
Answer: LCM of 934, 280, 950, 893, 505 is 58968183400.
2. How to calculate the LCM of 934, 280, 950, 893, 505?
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 934, 280, 950, 893, 505.
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}.