LCM of 268, 223, 455, 735, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 223, 455, 735, 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 268, 223, 455, 735, 281. So, keep reading to learn more.
Given numbers are 268,223,455,735,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,223,455,735,281 is 160463650620.
Find LCM of 268,223,455,735,281 with Prime Factorization
| 5 | 268, 223, 455, 735, 281 |
| 7 | 268, 223, 91, 147, 281 |
| 268, 223, 13, 21, 281 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 268 x 223 x 13 x 21 x 281 = 160463650620
Therefore, the lowest common multiple of 268,223,455,735,281 is 160463650620.
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.
268 x 223 x 455 x 735 x 281 = 5616227771700
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.
268 : 1, 2, 4, 67, 134, 268
223 : 1, 223
455 : 1, 5, 7, 13, 35, 65, 91, 455
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,223,455,735,281, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
223:223
455:5x 7x 13
735:3x 5x 7x 7
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.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 5616227771700/(1x35)
LCM = 5616227771700/35
LCM = 160463650620
Thus, we can understand that the LCM of 268,223,455,735,281 is 160463650620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 268, 223, 455, 735, 281
1. What is the LCM of 268, 223, 455, 735, 281?
Answer: LCM of 268, 223, 455, 735, 281 is 160463650620.
2. How to calculate the LCM of 268, 223, 455, 735, 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 268, 223, 455, 735, 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}.