Find the LCM of 158, 448, 533, 989, 297 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 158, 448, 533, 989, 297. So, keep reading to learn more.
Given numbers are 158,448,533,989,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,448,533,989,297 is 5540960513088.
Find LCM of 158,448,533,989,297 with Prime Factorization
2 | 158, 448, 533, 989, 297 |
79, 224, 533, 989, 297 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 224 x 533 x 989 x 297 = 5540960513088
Therefore, the lowest common multiple of 158,448,533,989,297 is 5540960513088.
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.
158 x 448 x 533 x 989 x 297 = 11081921026176
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.
158 : 1, 2, 79, 158
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
533 : 1, 13, 41, 533
989 : 1, 23, 43, 989
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,448,533,989,297, is 1.
Now, the common factors can be found like this.
158:2x 79
448:2x 2x 2x 2x 2x 2x 7
533:13x 41
989:23x 43
297:3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11081921026176/(1x2)
LCM = 11081921026176/2
LCM = 5540960513088
Thus, we can understand that the LCM of 158,448,533,989,297 is 5540960513088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 158, 448, 533, 989, 297?
Answer: LCM of 158, 448, 533, 989, 297 is 5540960513088.
2. How to calculate the LCM of 158, 448, 533, 989, 297?
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 158, 448, 533, 989, 297.
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}.