Find the LCM of 448, 986, 364, 552 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, 986, 364, 552. So, keep reading to learn more.
Given numbers are 448,986,364,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,986,364,552 is 198115008.
Find LCM of 448,986,364,552 with Prime Factorization
2 | 448, 986, 364, 552 |
2 | 224, 493, 182, 276 |
2 | 112, 493, 91, 138 |
7 | 56, 493, 91, 69 |
8, 493, 13, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 8 x 493 x 13 x 69 = 198115008
Therefore, the lowest common multiple of 448,986,364,552 is 198115008.
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 986 x 364 x 552 = 88755523584
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,986,364,552, is 2.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
986:2x 17x 29
364:2x 2x 7x 13
552:2x 2x 2x 3x 23
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 7 = 224
Therefore, the value for common factors is 224.
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 = 88755523584/(2x224)
LCM = 88755523584/448
LCM = 198115008
Thus, we can understand that the LCM of 448,986,364,552 is 198115008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 986, 364, 552?
Answer: LCM of 448, 986, 364, 552 is 198115008.
2. How to calculate the LCM of 448, 986, 364, 552?
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, 986, 364, 552.
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}.