Find the LCM of 232, 533, 116, 281 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 232, 533, 116, 281. So, keep reading to learn more.
Given numbers are 232,533,116,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,533,116,281 is 34747336.
Find LCM of 232,533,116,281 with Prime Factorization
2 | 232, 533, 116, 281 |
2 | 116, 533, 58, 281 |
29 | 29, 533, 58, 281 |
1, 533, 2, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 1 x 533 x 2 x 281 = 34747336
Therefore, the lowest common multiple of 232,533,116,281 is 34747336.
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.
232 x 533 x 116 x 281 = 4030690976
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
533 : 1, 13, 41, 533
116 : 1, 2, 4, 29, 58, 116
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,533,116,281, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
533:13x 41
116:2x 2x 29
281:281
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 29 = 116
Therefore, the value for common factors is 116.
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 = 4030690976/(1x116)
LCM = 4030690976/116
LCM = 34747336
Thus, we can understand that the LCM of 232,533,116,281 is 34747336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 533, 116, 281?
Answer: LCM of 232, 533, 116, 281 is 34747336.
2. How to calculate the LCM of 232, 533, 116, 281?
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 232, 533, 116, 281.
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}.