LCM of 269, 614, 322, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 614, 322, 223 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 269, 614, 322, 223. So, keep reading to learn more.
Given numbers are 269,614,322,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,614,322,223 is 5929954898.
Find LCM of 269,614,322,223 with Prime Factorization
| 2 | 269, 614, 322, 223 |
| 269, 307, 161, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 307 x 161 x 223 = 5929954898
Therefore, the lowest common multiple of 269,614,322,223 is 5929954898.
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.
269 x 614 x 322 x 223 = 11859909796
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.
269 : 1, 269
614 : 1, 2, 307, 614
322 : 1, 2, 7, 14, 23, 46, 161, 322
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,614,322,223, is 1.
Now, the common factors can be found like this.
269:269
614:2x 307
322:2x 7x 23
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11859909796/(1x2)
LCM = 11859909796/2
LCM = 5929954898
Thus, we can understand that the LCM of 269,614,322,223 is 5929954898.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 614, 322, 223
1. What is the LCM of 269, 614, 322, 223?
Answer: LCM of 269, 614, 322, 223 is 5929954898.
2. How to calculate the LCM of 269, 614, 322, 223?
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 269, 614, 322, 223.
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}.