LCM of 326, 711, 278, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 711, 278, 468 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, 711, 278, 468. So, keep reading to learn more.
Given numbers are 326,711,278,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,711,278,468 is 837674604.
Find LCM of 326,711,278,468 with Prime Factorization
| 2 | 326, 711, 278, 468 |
| 3 | 163, 711, 139, 234 |
| 3 | 163, 237, 139, 78 |
| 163, 79, 139, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 163 x 79 x 139 x 26 = 837674604
Therefore, the lowest common multiple of 326,711,278,468 is 837674604.
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 711 x 278 x 468 = 30156285744
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
711 : 1, 3, 9, 79, 237, 711
278 : 1, 2, 139, 278
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,711,278,468, is 1.
Now, the common factors can be found like this.
326:2x 163
711:3x 3x 79
278:2x 139
468:2x 2x 3x 3x 13
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 30156285744/(1x36)
LCM = 30156285744/36
LCM = 837674604
Thus, we can understand that the LCM of 326,711,278,468 is 837674604.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 326, 711, 278, 468
1. What is the LCM of 326, 711, 278, 468?
Answer: LCM of 326, 711, 278, 468 is 837674604.
2. How to calculate the LCM of 326, 711, 278, 468?
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, 711, 278, 468.
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}.