LCM of 326, 978, 274, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 978, 274, 341 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 326, 978, 274, 341. So, keep reading to learn more.
Given numbers are 326,978,274,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,978,274,341 is 45689226.
Find LCM of 326,978,274,341 with Prime Factorization
| 2 | 326, 978, 274, 341 |
| 163 | 163, 489, 137, 341 |
| 1, 3, 137, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 163 x 1 x 3 x 137 x 341 = 45689226
Therefore, the lowest common multiple of 326,978,274,341 is 45689226.
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.
326 x 978 x 274 x 341 = 29789375352
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.
326 : 1, 2, 163, 326
978 : 1, 2, 3, 6, 163, 326, 489, 978
274 : 1, 2, 137, 274
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,978,274,341, is 1.
Now, the common factors can be found like this.
326:2x 163
978:2x 3x 163
274:2x 137
341:11x 31
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 163 = 652
Therefore, the value for common factors is 652.
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 = 29789375352/(1x652)
LCM = 29789375352/652
LCM = 45689226
Thus, we can understand that the LCM of 326,978,274,341 is 45689226.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 326, 978, 274, 341
1. What is the LCM of 326, 978, 274, 341?
Answer: LCM of 326, 978, 274, 341 is 45689226.
2. How to calculate the LCM of 326, 978, 274, 341?
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 326, 978, 274, 341.
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}.