Find the LCM of 936, 499, 962, 351, 724 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 936, 499, 962, 351, 724. So, keep reading to learn more.
Given numbers are 936,499,962,351,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,499,962,351,724 is 9383782824.
Find LCM of 936,499,962,351,724 with Prime Factorization
2 | 936, 499, 962, 351, 724 |
2 | 468, 499, 481, 351, 362 |
3 | 234, 499, 481, 351, 181 |
3 | 78, 499, 481, 117, 181 |
13 | 26, 499, 481, 39, 181 |
2, 499, 37, 3, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 2 x 499 x 37 x 3 x 181 = 9383782824
Therefore, the lowest common multiple of 936,499,962,351,724 is 9383782824.
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.
936 x 499 x 962 x 351 x 724 = 114181869402432
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
499 : 1, 499
962 : 1, 2, 13, 26, 37, 74, 481, 962
351 : 1, 3, 9, 13, 27, 39, 117, 351
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,499,962,351,724, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
499:499
962:2x 13x 37
351:3x 3x 3x 13
724:2x 2x 181
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 3x 3x 13x 13 = 12168
Therefore, the value for common factors is 12168.
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 = 114181869402432/(1x12168)
LCM = 114181869402432/12168
LCM = 9383782824
Thus, we can understand that the LCM of 936,499,962,351,724 is 9383782824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 499, 962, 351, 724?
Answer: LCM of 936, 499, 962, 351, 724 is 9383782824.
2. How to calculate the LCM of 936, 499, 962, 351, 724?
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 936, 499, 962, 351, 724.
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}.