Find the LCM of 748, 334, 211, 422, 208 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, 334, 211, 422, 208. So, keep reading to learn more.
Given numbers are 748,334,211,422,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,334,211,422,208 is 1370578352.
Find LCM of 748,334,211,422,208 with Prime Factorization
2 | 748, 334, 211, 422, 208 |
2 | 374, 167, 211, 211, 104 |
211 | 187, 167, 211, 211, 52 |
187, 167, 1, 1, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 187 x 167 x 1 x 1 x 52 = 1370578352
Therefore, the lowest common multiple of 748,334,211,422,208 is 1370578352.
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 334 x 211 x 422 x 208 = 4627072516352
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
334 : 1, 2, 167, 334
211 : 1, 211
422 : 1, 2, 211, 422
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,334,211,422,208, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
334:2x 167
211:211
422:2x 211
208:2x 2x 2x 2x 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 2x 2x 211 = 3376
Therefore, the value for common factors is 3376.
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 = 4627072516352/(1x3376)
LCM = 4627072516352/3376
LCM = 1370578352
Thus, we can understand that the LCM of 748,334,211,422,208 is 1370578352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 334, 211, 422, 208?
Answer: LCM of 748, 334, 211, 422, 208 is 1370578352.
2. How to calculate the LCM of 748, 334, 211, 422, 208?
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, 334, 211, 422, 208.
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}.