LCM of 763, 993, 182, 311, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 993, 182, 311, 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 763, 993, 182, 311, 728. So, keep reading to learn more.
Given numbers are 763,993,182,311,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,993,182,311,728 is 24505722696.
Find LCM of 763,993,182,311,728 with Prime Factorization
| 2 | 763, 993, 182, 311, 728 |
| 7 | 763, 993, 91, 311, 364 |
| 13 | 109, 993, 13, 311, 52 |
| 109, 993, 1, 311, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 109 x 993 x 1 x 311 x 4 = 24505722696
Therefore, the lowest common multiple of 763,993,182,311,728 is 24505722696.
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.
763 x 993 x 182 x 311 x 728 = 31220290714704
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.
763 : 1, 7, 109, 763
993 : 1, 3, 331, 993
182 : 1, 2, 7, 13, 14, 26, 91, 182
311 : 1, 311
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 763,993,182,311,728, is 1.
Now, the common factors can be found like this.
763:7x 109
993:3x 331
182:2x 7x 13
311:311
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 7x 7x 13 = 1274
Therefore, the value for common factors is 1274.
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 = 31220290714704/(1x1274)
LCM = 31220290714704/1274
LCM = 24505722696
Thus, we can understand that the LCM of 763,993,182,311,728 is 24505722696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 763, 993, 182, 311, 728
1. What is the LCM of 763, 993, 182, 311, 728?
Answer: LCM of 763, 993, 182, 311, 728 is 24505722696.
2. How to calculate the LCM of 763, 993, 182, 311, 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 763, 993, 182, 311, 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}.