Find the LCM of 391, 841, 638, 342, 308 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 391, 841, 638, 342, 308. So, keep reading to learn more.
Given numbers are 391,841,638,342,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,841,638,342,308 is 17318871108.
Find LCM of 391,841,638,342,308 with Prime Factorization
2 | 391, 841, 638, 342, 308 |
11 | 391, 841, 319, 171, 154 |
29 | 391, 841, 29, 171, 14 |
391, 1, 29, 171, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 391 x 1 x 29 x 171 x 14 = 17318871108
Therefore, the lowest common multiple of 391,841,638,342,308 is 17318871108.
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.
391 x 841 x 638 x 342 x 308 = 22098879533808
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.
391 : 1, 17, 23, 391
841 : 1, 29, 841
638 : 1, 2, 11, 22, 29, 58, 319, 638
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,841,638,342,308, is 1.
Now, the common factors can be found like this.
391:17x 23
841:29x 29
638:2x 11x 29
342:2x 3x 3x 19
308:2x 2x 7x 11
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 22098879533808/(1x1276)
LCM = 22098879533808/1276
LCM = 17318871108
Thus, we can understand that the LCM of 391,841,638,342,308 is 17318871108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 841, 638, 342, 308?
Answer: LCM of 391, 841, 638, 342, 308 is 17318871108.
2. How to calculate the LCM of 391, 841, 638, 342, 308?
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 391, 841, 638, 342, 308.
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}.