LCM of 505, 938, 617, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 938, 617, 728 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 505, 938, 617, 728. So, keep reading to learn more.
Given numbers are 505,938,617,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,938,617,728 is 15197869960.
Find LCM of 505,938,617,728 with Prime Factorization
| 2 | 505, 938, 617, 728 |
| 7 | 505, 469, 617, 364 |
| 505, 67, 617, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 505 x 67 x 617 x 52 = 15197869960
Therefore, the lowest common multiple of 505,938,617,728 is 15197869960.
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.
505 x 938 x 617 x 728 = 212770179440
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.
505 : 1, 5, 101, 505
938 : 1, 2, 7, 14, 67, 134, 469, 938
617 : 1, 617
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,938,617,728, is 1.
Now, the common factors can be found like this.
505:5x 101
938:2x 7x 67
617:617
728:2x 2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 212770179440/(1x14)
LCM = 212770179440/14
LCM = 15197869960
Thus, we can understand that the LCM of 505,938,617,728 is 15197869960.
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FAQs on LCM of 505, 938, 617, 728
1. What is the LCM of 505, 938, 617, 728?
Answer: LCM of 505, 938, 617, 728 is 15197869960.
2. How to calculate the LCM of 505, 938, 617, 728?
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 505, 938, 617, 728.
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}.