LCM of 988, 728, 232, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 728, 232, 232 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 988, 728, 232, 232. So, keep reading to learn more.
Given numbers are 988,728,232,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,728,232,232 is 401128.
Find LCM of 988,728,232,232 with Prime Factorization
| 2 | 988, 728, 232, 232 |
| 2 | 494, 364, 116, 116 |
| 2 | 247, 182, 58, 58 |
| 13 | 247, 91, 29, 29 |
| 29 | 19, 7, 29, 29 |
| 19, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 29 x 19 x 7 x 1 x 1 = 401128
Therefore, the lowest common multiple of 988,728,232,232 is 401128.
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.
988 x 728 x 232 x 232 = 38713665536
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
232 : 1, 2, 4, 8, 29, 58, 116, 232
232 : 1, 2, 4, 8, 29, 58, 116, 232
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,728,232,232, is 4.
Now, the common factors can be found like this.
988:2x 2x 13x 19
728:2x 2x 2x 7x 13
232:2x 2x 2x 29
232:2x 2x 2x 29
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 2x 2x 13x 29 = 24128
Therefore, the value for common factors is 24128.
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 = 38713665536/(4x24128)
LCM = 38713665536/96512
LCM = 401128
Thus, we can understand that the LCM of 988,728,232,232 is 401128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 728, 232, 232
1. What is the LCM of 988, 728, 232, 232?
Answer: LCM of 988, 728, 232, 232 is 401128.
2. How to calculate the LCM of 988, 728, 232, 232?
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 988, 728, 232, 232.
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}.