Find the LCM of 448, 909, 968, 312, 642 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 448, 909, 968, 312, 642. So, keep reading to learn more.
Given numbers are 448,909,968,312,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,909,968,312,642 is 68541625152.
Find LCM of 448,909,968,312,642 with Prime Factorization
2 | 448, 909, 968, 312, 642 |
2 | 224, 909, 484, 156, 321 |
2 | 112, 909, 242, 78, 321 |
3 | 56, 909, 121, 39, 321 |
56, 303, 121, 13, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 56 x 303 x 121 x 13 x 107 = 68541625152
Therefore, the lowest common multiple of 448,909,968,312,642 is 68541625152.
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.
448 x 909 x 968 x 312 x 642 = 78959952175104
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
909 : 1, 3, 9, 101, 303, 909
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,909,968,312,642, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
909:3x 3x 101
968:2x 2x 2x 11x 11
312:2x 2x 2x 3x 13
642:2x 3x 107
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 3 = 1152
Therefore, the value for common factors is 1152.
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 = 78959952175104/(1x1152)
LCM = 78959952175104/1152
LCM = 68541625152
Thus, we can understand that the LCM of 448,909,968,312,642 is 68541625152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 909, 968, 312, 642?
Answer: LCM of 448, 909, 968, 312, 642 is 68541625152.
2. How to calculate the LCM of 448, 909, 968, 312, 642?
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 448, 909, 968, 312, 642.
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}.