LCM of 331, 748, 578, 896, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 748, 578, 896, 326 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 331, 748, 578, 896, 326. So, keep reading to learn more.
Given numbers are 331,748,578,896,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,748,578,896,326 is 153678861952.
Find LCM of 331,748,578,896,326 with Prime Factorization
| 2 | 331, 748, 578, 896, 326 |
| 2 | 331, 374, 289, 448, 163 |
| 17 | 331, 187, 289, 224, 163 |
| 331, 11, 17, 224, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 331 x 11 x 17 x 224 x 163 = 153678861952
Therefore, the lowest common multiple of 331,748,578,896,326 is 153678861952.
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.
331 x 748 x 578 x 896 x 326 = 41800650450944
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.
331 : 1, 331
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
578 : 1, 2, 17, 34, 289, 578
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,748,578,896,326, is 1.
Now, the common factors can be found like this.
331:331
748:2x 2x 11x 17
578:2x 17x 17
896:2x 2x 2x 2x 2x 2x 2x 7
326:2x 163
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 2x 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 41800650450944/(1x272)
LCM = 41800650450944/272
LCM = 153678861952
Thus, we can understand that the LCM of 331,748,578,896,326 is 153678861952.
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FAQs on LCM of 331, 748, 578, 896, 326
1. What is the LCM of 331, 748, 578, 896, 326?
Answer: LCM of 331, 748, 578, 896, 326 is 153678861952.
2. How to calculate the LCM of 331, 748, 578, 896, 326?
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 331, 748, 578, 896, 326.
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}.