Find the LCM of 318, 962, 422, 400 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 318, 962, 422, 400. So, keep reading to learn more.
Given numbers are 318,962,422,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,962,422,400 is 6454827600.
Find LCM of 318,962,422,400 with Prime Factorization
2 | 318, 962, 422, 400 |
159, 481, 211, 200 |
Multiply the prime numbers at the bottom and the left side.
2 x 159 x 481 x 211 x 200 = 6454827600
Therefore, the lowest common multiple of 318,962,422,400 is 6454827600.
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.
318 x 962 x 422 x 400 = 51638620800
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
962 : 1, 2, 13, 26, 37, 74, 481, 962
422 : 1, 2, 211, 422
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,962,422,400, is 2.
Now, the common factors can be found like this.
318:2x 3x 53
962:2x 13x 37
422:2x 211
400:2x 2x 2x 2x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 51638620800/(2x4)
LCM = 51638620800/8
LCM = 6454827600
Thus, we can understand that the LCM of 318,962,422,400 is 6454827600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 962, 422, 400?
Answer: LCM of 318, 962, 422, 400 is 6454827600.
2. How to calculate the LCM of 318, 962, 422, 400?
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 318, 962, 422, 400.
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}.