Find the LCM of 339, 266, 994, 198, 149 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 339, 266, 994, 198, 149. So, keep reading to learn more.
Given numbers are 339,266,994,198,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,266,994,198,149 is 31480374618.
Find LCM of 339,266,994,198,149 with Prime Factorization
2 | 339, 266, 994, 198, 149 |
3 | 339, 133, 497, 99, 149 |
7 | 113, 133, 497, 33, 149 |
113, 19, 71, 33, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 113 x 19 x 71 x 33 x 149 = 31480374618
Therefore, the lowest common multiple of 339,266,994,198,149 is 31480374618.
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.
339 x 266 x 994 x 198 x 149 = 2644351467912
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.
339 : 1, 3, 113, 339
266 : 1, 2, 7, 14, 19, 38, 133, 266
994 : 1, 2, 7, 14, 71, 142, 497, 994
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,266,994,198,149, is 1.
Now, the common factors can be found like this.
339:3x 113
266:2x 7x 19
994:2x 7x 71
198:2x 3x 3x 11
149:149
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 2644351467912/(1x84)
LCM = 2644351467912/84
LCM = 31480374618
Thus, we can understand that the LCM of 339,266,994,198,149 is 31480374618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 266, 994, 198, 149?
Answer: LCM of 339, 266, 994, 198, 149 is 31480374618.
2. How to calculate the LCM of 339, 266, 994, 198, 149?
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 339, 266, 994, 198, 149.
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}.