Find the LCM of 916, 763, 872, 310 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 916, 763, 872, 310. So, keep reading to learn more.
Given numbers are 916,763,872,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,763,872,310 is 216661480.
Find LCM of 916,763,872,310 with Prime Factorization
2 | 916, 763, 872, 310 |
2 | 458, 763, 436, 155 |
109 | 229, 763, 218, 155 |
229, 7, 2, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 109 x 229 x 7 x 2 x 155 = 216661480
Therefore, the lowest common multiple of 916,763,872,310 is 216661480.
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.
916 x 763 x 872 x 310 = 188928810560
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.
916 : 1, 2, 4, 229, 458, 916
763 : 1, 7, 109, 763
872 : 1, 2, 4, 8, 109, 218, 436, 872
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,763,872,310, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
763:7x 109
872:2x 2x 2x 109
310:2x 5x 31
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 109 = 872
Therefore, the value for common factors is 872.
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 = 188928810560/(1x872)
LCM = 188928810560/872
LCM = 216661480
Thus, we can understand that the LCM of 916,763,872,310 is 216661480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 763, 872, 310?
Answer: LCM of 916, 763, 872, 310 is 216661480.
2. How to calculate the LCM of 916, 763, 872, 310?
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 916, 763, 872, 310.
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}.