Find the LCM of 936, 424, 736, 874, 424 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, 424, 736, 874, 424. So, keep reading to learn more.
Given numbers are 936,424,736,874,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,424,736,874,424 is 86714784.
Find LCM of 936,424,736,874,424 with Prime Factorization
2 | 936, 424, 736, 874, 424 |
2 | 468, 212, 368, 437, 212 |
2 | 234, 106, 184, 437, 106 |
23 | 117, 53, 92, 437, 53 |
53 | 117, 53, 4, 19, 53 |
117, 1, 4, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 53 x 117 x 1 x 4 x 19 x 1 = 86714784
Therefore, the lowest common multiple of 936,424,736,874,424 is 86714784.
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 424 x 736 x 874 x 424 = 108242249416704
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
874 : 1, 2, 19, 23, 38, 46, 437, 874
424 : 1, 2, 4, 8, 53, 106, 212, 424
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,424,736,874,424, is 2.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
424:2x 2x 2x 53
736:2x 2x 2x 2x 2x 23
874:2x 19x 23
424:2x 2x 2x 53
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 2x 2x 2x 2x 2x 2x 23x 53 = 624128
Therefore, the value for common factors is 624128.
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 = 108242249416704/(2x624128)
LCM = 108242249416704/1248256
LCM = 86714784
Thus, we can understand that the LCM of 936,424,736,874,424 is 86714784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 424, 736, 874, 424?
Answer: LCM of 936, 424, 736, 874, 424 is 86714784.
2. How to calculate the LCM of 936, 424, 736, 874, 424?
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, 424, 736, 874, 424.
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}.