Find the LCM of 936, 418, 703, 135 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, 418, 703, 135. So, keep reading to learn more.
Given numbers are 936,418,703,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,418,703,135 is 108571320.
Find LCM of 936,418,703,135 with Prime Factorization
2 | 936, 418, 703, 135 |
3 | 468, 209, 703, 135 |
3 | 156, 209, 703, 45 |
19 | 52, 209, 703, 15 |
52, 11, 37, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 52 x 11 x 37 x 15 = 108571320
Therefore, the lowest common multiple of 936,418,703,135 is 108571320.
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 418 x 703 x 135 = 37131391440
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
703 : 1, 19, 37, 703
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,418,703,135, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
418:2x 11x 19
703:19x 37
135:3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 37131391440/(1x342)
LCM = 37131391440/342
LCM = 108571320
Thus, we can understand that the LCM of 936,418,703,135 is 108571320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 418, 703, 135?
Answer: LCM of 936, 418, 703, 135 is 108571320.
2. How to calculate the LCM of 936, 418, 703, 135?
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, 418, 703, 135.
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}.