Find the LCM of 160, 167, 240, 863, 548 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 160, 167, 240, 863, 548. So, keep reading to learn more.
Given numbers are 160,167,240,863,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,167,240,863,548 is 9477396960.
Find LCM of 160,167,240,863,548 with Prime Factorization
2 | 160, 167, 240, 863, 548 |
2 | 80, 167, 120, 863, 274 |
2 | 40, 167, 60, 863, 137 |
2 | 20, 167, 30, 863, 137 |
5 | 10, 167, 15, 863, 137 |
2, 167, 3, 863, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 2 x 167 x 3 x 863 x 137 = 9477396960
Therefore, the lowest common multiple of 160,167,240,863,548 is 9477396960.
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.
160 x 167 x 240 x 863 x 548 = 3032767027200
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
167 : 1, 167
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
863 : 1, 863
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,167,240,863,548, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
167:167
240:2x 2x 2x 2x 3x 5
863:863
548:2x 2x 137
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 5 = 320
Therefore, the value for common factors is 320.
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 = 3032767027200/(1x320)
LCM = 3032767027200/320
LCM = 9477396960
Thus, we can understand that the LCM of 160,167,240,863,548 is 9477396960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 160, 167, 240, 863, 548?
Answer: LCM of 160, 167, 240, 863, 548 is 9477396960.
2. How to calculate the LCM of 160, 167, 240, 863, 548?
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 160, 167, 240, 863, 548.
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}.