Find the LCM of 924, 448, 136, 912 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 924, 448, 136, 912. So, keep reading to learn more.
Given numbers are 924,448,136,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,448,136,912 is 4775232.
Find LCM of 924,448,136,912 with Prime Factorization
2 | 924, 448, 136, 912 |
2 | 462, 224, 68, 456 |
2 | 231, 112, 34, 228 |
2 | 231, 56, 17, 114 |
3 | 231, 28, 17, 57 |
7 | 77, 28, 17, 19 |
11, 4, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 11 x 4 x 17 x 19 = 4775232
Therefore, the lowest common multiple of 924,448,136,912 is 4775232.
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.
924 x 448 x 136 x 912 = 51343294464
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
136 : 1, 2, 4, 8, 17, 34, 68, 136
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,448,136,912, is 4.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
448:2x 2x 2x 2x 2x 2x 7
136:2x 2x 2x 17
912:2x 2x 2x 2x 3x 19
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 3x 7 = 2688
Therefore, the value for common factors is 2688.
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 = 51343294464/(4x2688)
LCM = 51343294464/10752
LCM = 4775232
Thus, we can understand that the LCM of 924,448,136,912 is 4775232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 924, 448, 136, 912?
Answer: LCM of 924, 448, 136, 912 is 4775232.
2. How to calculate the LCM of 924, 448, 136, 912?
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 924, 448, 136, 912.
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}.