Find the LCM of 491, 266, 361, 899, 137 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 491, 266, 361, 899, 137. So, keep reading to learn more.
Given numbers are 491,266,361,899,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,266,361,899,137 is 305630708782.
Find LCM of 491,266,361,899,137 with Prime Factorization
19 | 491, 266, 361, 899, 137 |
491, 14, 19, 899, 137 |
Multiply the prime numbers at the bottom and the left side.
19 x 491 x 14 x 19 x 899 x 137 = 305630708782
Therefore, the lowest common multiple of 491,266,361,899,137 is 305630708782.
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.
491 x 266 x 361 x 899 x 137 = 5806983466858
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.
491 : 1, 491
266 : 1, 2, 7, 14, 19, 38, 133, 266
361 : 1, 19, 361
899 : 1, 29, 31, 899
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,266,361,899,137, is 1.
Now, the common factors can be found like this.
491:491
266:2x 7x 19
361:19x 19
899:29x 31
137:137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 5806983466858/(1x19)
LCM = 5806983466858/19
LCM = 305630708782
Thus, we can understand that the LCM of 491,266,361,899,137 is 305630708782.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 266, 361, 899, 137?
Answer: LCM of 491, 266, 361, 899, 137 is 305630708782.
2. How to calculate the LCM of 491, 266, 361, 899, 137?
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 491, 266, 361, 899, 137.
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}.