Find the LCM of 748, 418, 208, 221, 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 748, 418, 208, 221, 326. So, keep reading to learn more.
Given numbers are 748,418,208,221,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,418,208,221,326 is 120460912.
Find LCM of 748,418,208,221,326 with Prime Factorization
2 | 748, 418, 208, 221, 326 |
2 | 374, 209, 104, 221, 163 |
11 | 187, 209, 52, 221, 163 |
13 | 17, 19, 52, 221, 163 |
17 | 17, 19, 4, 17, 163 |
1, 19, 4, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 17 x 1 x 19 x 4 x 1 x 163 = 120460912
Therefore, the lowest common multiple of 748,418,208,221,326 is 120460912.
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.
748 x 418 x 208 x 221 x 326 = 4685447633152
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
418 : 1, 2, 11, 19, 22, 38, 209, 418
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
221 : 1, 13, 17, 221
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,418,208,221,326, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
418:2x 11x 19
208:2x 2x 2x 2x 13
221:13x 17
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 11x 13x 17 = 38896
Therefore, the value for common factors is 38896.
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 = 4685447633152/(1x38896)
LCM = 4685447633152/38896
LCM = 120460912
Thus, we can understand that the LCM of 748,418,208,221,326 is 120460912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 418, 208, 221, 326?
Answer: LCM of 748, 418, 208, 221, 326 is 120460912.
2. How to calculate the LCM of 748, 418, 208, 221, 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 748, 418, 208, 221, 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}.