Find the LCM of 416, 348, 893, 174, 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 416, 348, 893, 174, 326. So, keep reading to learn more.
Given numbers are 416,348,893,174,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,348,893,174,326 is 5268071328.
Find LCM of 416,348,893,174,326 with Prime Factorization
2 | 416, 348, 893, 174, 326 |
2 | 208, 174, 893, 87, 163 |
3 | 104, 87, 893, 87, 163 |
29 | 104, 29, 893, 29, 163 |
104, 1, 893, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 104 x 1 x 893 x 1 x 163 = 5268071328
Therefore, the lowest common multiple of 416,348,893,174,326 is 5268071328.
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.
416 x 348 x 893 x 174 x 326 = 7333155288576
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
893 : 1, 19, 47, 893
174 : 1, 2, 3, 6, 29, 58, 87, 174
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,348,893,174,326, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
348:2x 2x 3x 29
893:19x 47
174:2x 3x 29
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 3x 29 = 1392
Therefore, the value for common factors is 1392.
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 = 7333155288576/(1x1392)
LCM = 7333155288576/1392
LCM = 5268071328
Thus, we can understand that the LCM of 416,348,893,174,326 is 5268071328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 348, 893, 174, 326?
Answer: LCM of 416, 348, 893, 174, 326 is 5268071328.
2. How to calculate the LCM of 416, 348, 893, 174, 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 416, 348, 893, 174, 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}.