Find the LCM of 971, 538, 413, 916 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 971, 538, 413, 916. So, keep reading to learn more.
Given numbers are 971,538,413,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,538,413,916 is 98813671292.
Find LCM of 971,538,413,916 with Prime Factorization
2 | 971, 538, 413, 916 |
971, 269, 413, 458 |
Multiply the prime numbers at the bottom and the left side.
2 x 971 x 269 x 413 x 458 = 98813671292
Therefore, the lowest common multiple of 971,538,413,916 is 98813671292.
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.
971 x 538 x 413 x 916 = 197627342584
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.
971 : 1, 971
538 : 1, 2, 269, 538
413 : 1, 7, 59, 413
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,538,413,916, is 1.
Now, the common factors can be found like this.
971:971
538:2x 269
413:7x 59
916:2x 2x 229
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 = 197627342584/(1x2)
LCM = 197627342584/2
LCM = 98813671292
Thus, we can understand that the LCM of 971,538,413,916 is 98813671292.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 538, 413, 916?
Answer: LCM of 971, 538, 413, 916 is 98813671292.
2. How to calculate the LCM of 971, 538, 413, 916?
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 971, 538, 413, 916.
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}.