Find the LCM of 949, 767, 827, 379 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 949, 767, 827, 379. So, keep reading to learn more.
Given numbers are 949,767,827,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,767,827,379 is 17549427103.
Find LCM of 949,767,827,379 with Prime Factorization
13 | 949, 767, 827, 379 |
73, 59, 827, 379 |
Multiply the prime numbers at the bottom and the left side.
13 x 73 x 59 x 827 x 379 = 17549427103
Therefore, the lowest common multiple of 949,767,827,379 is 17549427103.
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.
949 x 767 x 827 x 379 = 228142552339
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.
949 : 1, 13, 73, 949
767 : 1, 13, 59, 767
827 : 1, 827
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,767,827,379, is 1.
Now, the common factors can be found like this.
949:13x 73
767:13x 59
827:827
379:379
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 = 228142552339/(1x13)
LCM = 228142552339/13
LCM = 17549427103
Thus, we can understand that the LCM of 949,767,827,379 is 17549427103.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 949, 767, 827, 379?
Answer: LCM of 949, 767, 827, 379 is 17549427103.
2. How to calculate the LCM of 949, 767, 827, 379?
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 949, 767, 827, 379.
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}.