Find the LCM of 739, 313, 685, 822 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 739, 313, 685, 822. So, keep reading to learn more.
Given numbers are 739,313,685,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,313,685,822 is 950671770.
Find LCM of 739,313,685,822 with Prime Factorization
137 | 739, 313, 685, 822 |
739, 313, 5, 6 |
Multiply the prime numbers at the bottom and the left side.
137 x 739 x 313 x 5 x 6 = 950671770
Therefore, the lowest common multiple of 739,313,685,822 is 950671770.
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.
739 x 313 x 685 x 822 = 130242032490
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.
739 : 1, 739
313 : 1, 313
685 : 1, 5, 137, 685
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,313,685,822, is 1.
Now, the common factors can be found like this.
739:739
313:313
685:5x 137
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
137 = 137
Therefore, the value for common factors is 137.
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 = 130242032490/(1x137)
LCM = 130242032490/137
LCM = 950671770
Thus, we can understand that the LCM of 739,313,685,822 is 950671770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 313, 685, 822?
Answer: LCM of 739, 313, 685, 822 is 950671770.
2. How to calculate the LCM of 739, 313, 685, 822?
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 739, 313, 685, 822.
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}.