Find the LCM of 118, 767, 285, 923, 286 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 118, 767, 285, 923, 286. So, keep reading to learn more.
Given numbers are 118,767,285,923,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,767,285,923,286 is 341445390.
Find LCM of 118,767,285,923,286 with Prime Factorization
2 | 118, 767, 285, 923, 286 |
13 | 59, 767, 285, 923, 143 |
59 | 59, 59, 285, 71, 11 |
1, 1, 285, 71, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 59 x 1 x 1 x 285 x 71 x 11 = 341445390
Therefore, the lowest common multiple of 118,767,285,923,286 is 341445390.
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.
118 x 767 x 285 x 923 x 286 = 6809103967380
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.
118 : 1, 2, 59, 118
767 : 1, 13, 59, 767
285 : 1, 3, 5, 15, 19, 57, 95, 285
923 : 1, 13, 71, 923
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,767,285,923,286, is 1.
Now, the common factors can be found like this.
118:2x 59
767:13x 59
285:3x 5x 19
923:13x 71
286:2x 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.
2x 13x 13x 59 = 19942
Therefore, the value for common factors is 19942.
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 = 6809103967380/(1x19942)
LCM = 6809103967380/19942
LCM = 341445390
Thus, we can understand that the LCM of 118,767,285,923,286 is 341445390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 118, 767, 285, 923, 286?
Answer: LCM of 118, 767, 285, 923, 286 is 341445390.
2. How to calculate the LCM of 118, 767, 285, 923, 286?
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 118, 767, 285, 923, 286.
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}.