Find the LCM of 863, 305, 131, 524 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 863, 305, 131, 524. So, keep reading to learn more.
Given numbers are 863,305,131,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,305,131,524 is 137924660.
Find LCM of 863,305,131,524 with Prime Factorization
131 | 863, 305, 131, 524 |
863, 305, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
131 x 863 x 305 x 1 x 4 = 137924660
Therefore, the lowest common multiple of 863,305,131,524 is 137924660.
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.
863 x 305 x 131 x 524 = 18068130460
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.
863 : 1, 863
305 : 1, 5, 61, 305
131 : 1, 131
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,305,131,524, is 1.
Now, the common factors can be found like this.
863:863
305:5x 61
131:131
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 18068130460/(1x131)
LCM = 18068130460/131
LCM = 137924660
Thus, we can understand that the LCM of 863,305,131,524 is 137924660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 863, 305, 131, 524?
Answer: LCM of 863, 305, 131, 524 is 137924660.
2. How to calculate the LCM of 863, 305, 131, 524?
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 863, 305, 131, 524.
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}.