LCM of 347, 266, 323, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 266, 323, 231 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 347, 266, 323, 231. So, keep reading to learn more.
Given numbers are 347,266,323,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,266,323,231 is 51781422.
Find LCM of 347,266,323,231 with Prime Factorization
| 7 | 347, 266, 323, 231 |
| 19 | 347, 38, 323, 33 |
| 347, 2, 17, 33 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 347 x 2 x 17 x 33 = 51781422
Therefore, the lowest common multiple of 347,266,323,231 is 51781422.
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.
347 x 266 x 323 x 231 = 6886929126
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.
347 : 1, 347
266 : 1, 2, 7, 14, 19, 38, 133, 266
323 : 1, 17, 19, 323
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,266,323,231, is 1.
Now, the common factors can be found like this.
347:347
266:2x 7x 19
323:17x 19
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 6886929126/(1x133)
LCM = 6886929126/133
LCM = 51781422
Thus, we can understand that the LCM of 347,266,323,231 is 51781422.
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FAQs on LCM of 347, 266, 323, 231
1. What is the LCM of 347, 266, 323, 231?
Answer: LCM of 347, 266, 323, 231 is 51781422.
2. How to calculate the LCM of 347, 266, 323, 231?
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 347, 266, 323, 231.
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}.