Find the LCM of 283, 689, 372, 949 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 283, 689, 372, 949. So, keep reading to learn more.
Given numbers are 283,689,372,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,689,372,949 is 5295066972.
Find LCM of 283,689,372,949 with Prime Factorization
13 | 283, 689, 372, 949 |
283, 53, 372, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 283 x 53 x 372 x 73 = 5295066972
Therefore, the lowest common multiple of 283,689,372,949 is 5295066972.
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.
283 x 689 x 372 x 949 = 68835870636
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.
283 : 1, 283
689 : 1, 13, 53, 689
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,689,372,949, is 1.
Now, the common factors can be found like this.
283:283
689:13x 53
372:2x 2x 3x 31
949:13x 73
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 = 68835870636/(1x13)
LCM = 68835870636/13
LCM = 5295066972
Thus, we can understand that the LCM of 283,689,372,949 is 5295066972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 689, 372, 949?
Answer: LCM of 283, 689, 372, 949 is 5295066972.
2. How to calculate the LCM of 283, 689, 372, 949?
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 283, 689, 372, 949.
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}.