Find the LCM of 767, 247, 971, 996, 235 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 767, 247, 971, 996, 235. So, keep reading to learn more.
Given numbers are 767,247,971,996,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,247,971,996,235 is 3312038644980.
Find LCM of 767,247,971,996,235 with Prime Factorization
13 | 767, 247, 971, 996, 235 |
59, 19, 971, 996, 235 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 19 x 971 x 996 x 235 = 3312038644980
Therefore, the lowest common multiple of 767,247,971,996,235 is 3312038644980.
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.
767 x 247 x 971 x 996 x 235 = 43056502384740
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.
767 : 1, 13, 59, 767
247 : 1, 13, 19, 247
971 : 1, 971
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,247,971,996,235, is 1.
Now, the common factors can be found like this.
767:13x 59
247:13x 19
971:971
996:2x 2x 3x 83
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 43056502384740/(1x13)
LCM = 43056502384740/13
LCM = 3312038644980
Thus, we can understand that the LCM of 767,247,971,996,235 is 3312038644980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 247, 971, 996, 235?
Answer: LCM of 767, 247, 971, 996, 235 is 3312038644980.
2. How to calculate the LCM of 767, 247, 971, 996, 235?
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 767, 247, 971, 996, 235.
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}.