Find the LCM of 494, 297, 149, 715 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 494, 297, 149, 715. So, keep reading to learn more.
Given numbers are 494,297,149,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,297,149,715 is 109304910.
Find LCM of 494,297,149,715 with Prime Factorization
11 | 494, 297, 149, 715 |
13 | 494, 27, 149, 65 |
38, 27, 149, 5 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 38 x 27 x 149 x 5 = 109304910
Therefore, the lowest common multiple of 494,297,149,715 is 109304910.
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.
494 x 297 x 149 x 715 = 15630602130
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
297 : 1, 3, 9, 11, 27, 33, 99, 297
149 : 1, 149
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,297,149,715, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
297:3x 3x 3x 11
149:149
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 15630602130/(1x143)
LCM = 15630602130/143
LCM = 109304910
Thus, we can understand that the LCM of 494,297,149,715 is 109304910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 297, 149, 715?
Answer: LCM of 494, 297, 149, 715 is 109304910.
2. How to calculate the LCM of 494, 297, 149, 715?
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 494, 297, 149, 715.
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}.